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A gas turbine engine includes a core housing that includes an inlet case and an intermediate case that respectively provide an inlet case flow path and an intermediate case flow path. A geared architecture is arranged within the inlet case. A shaft provides a rotational axis. A hub is operatively su

A gas turbine engine includes a core housing that includes an inlet case and an intermediate case that respectively provide an inlet case flow path and an intermediate case flow path. A geared architecture is arranged within the inlet case. A shaft provides a rotational axis. A hub is operatively supported by the shaft. A rotor is connected to the hub and supports a compressor section. The compressor section is arranged axially between the inlet case flow path and the intermediate case flow path. A bearing is mounted to the hub and supports the shaft relative to one of the intermediate case and the inlet case.

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1. A gas turbine engine comprising: a core housing including an inlet case and an intermediate case that respectively provide an inlet case flow path and an intermediate case flow path, a geared architecture arranged within the inlet case;a shaft providing a rotational axis;a hub operatively support

1. A gas turbine engine comprising: a core housing including an inlet case and an intermediate case that respectively provide an inlet case flow path and an intermediate case flow path, a geared architecture arranged within the inlet case;a shaft providing a rotational axis;a hub operatively supported by the shaft;a rotor connected to the hub and supporting a compressor section, the compressor section being arranged axially between the inlet case flow path and the intermediate case flow path;a bearing mounted to the hub and supporting the shaft relative to one of the intermediate case and the inlet case;a core inlet including the inlet case flow path and having a radially inner boundary that is spaced a first radial distance from the rotational axis, and a compressor section inlet having a radially inner boundary that is spaced a second radial distance from the rotational axis, wherein a ratio of the second radial distance to the first radial distance is of about 0.65 to about 0.9; anda fan section driven by the geared architecture that is driven by the shaft that rotates a compressor rotor within the compressor section. 2. The gas turbine engine according to claim 1, wherein the radially inner boundary of the core inlet is at a location of a core inlet stator. 3. The gas turbine engine according to claim 1, wherein the radially inner boundary of the compressor section inlet is at a location of a compressor rotor. 4. The gas turbine engine according to claim 1, wherein the core inlet is an inlet to the core housing. 5. The gas turbine engine according to claim 1, wherein an inlet mass flow rate flux of the compressor section is configured to be from about 30 lb/sec/ft2 to about 37 lb/sec/ft2 when the engine is operating at a cruise speed. 6. The gas turbine engine according to claim 1, wherein a turbine inlet temperature of a high-pressure turbine within the engine is configured to be from about 2,000° F. to about 2,600° F. when the engine is operating at a cruise speed. 7. The gas turbine engine according to claim 1, wherein a tip speed of a blade array in the compressor section during engine operation is configured to be from about 1,050 fps to about 1,350 fps. 8. The gas turbine engine according to claim 1, wherein the geared architecture has a gear reduction ratio of greater than about 2.3. 9. The gas turbine engine according to claim 1, wherein the inlet case includes a first inlet case portion defining the inlet case flow path, and a bearing support portion removably secured to the inlet case portion, the bearing mounted to the bearing support portion. 10. The gas turbine engine according to claim 1, wherein the intermediate case includes an intermediate case portion defining the intermediate case flow path, and a bearing support portion removably secured to the intermediate case portion, the bearing mounted to the bearing support portion. 11. The gas turbine engine according to claim 1, wherein the bearing is a ball bearing. 12. The gas turbine engine according to claim 1, wherein the bearing is a first bearing and further comprising a second bearing supporting the shaft relative to the other of the intermediate case and the inlet case. 13. The gas turbine engine according to claim 12, wherein the first and second bearings are arranged in separate sealed lubrication compartments. 14. The gas turbine engine according to claim 1, wherein the geared architecture is coupled to the shaft, and a fan is coupled to and rotationally driven by the geared architecture. 15. The gas turbine engine according to claim 1, wherein the rotor supports multiple compressor stages, and the bearing is axially aligned with and radially inward of one of the compressor stages. 16. The gas turbine engine according to claim 15, wherein the compressor section includes a variable stator vane array. 17. The gas turbine engine according to claim 14, comprising a lubrication compartment, wherein the geared architecture is arranged in the lubrication compartment. 18. The gas turbine engine according to claim 1, wherein the core housing includes a core inlet stator having a stator root that is spaced a first radial distance from the rotational axis, and the compressor section includes a compressor blade having a blade root that is spaced a second radial distance from the rotational axis, wherein a ratio of the second radial distance to the first radial distance is of about 0.65 to about 0.9. 19. The gas turbine engine according to claim 18, wherein the stator root is radially aligned with a radially inner boundary of a core flow path through the gas turbine engine. 20. The gas turbine engine according to claim 18, wherein the blade root is radially aligned with a radially inner boundary of a core flow path through the gas turbine engine. 21. The gas turbine engine according to claim 18, wherein the core inlet stator is positioned within an inlet to a core section of the gas turbine engine. 22. A gas turbine engine comprising: a core housing including an inlet case and an intermediate case that respectively provide an inlet case flow path and an intermediate case flow path, a geared architecture arranged within the inlet case;a shaft providing a rotational axis;a hub operatively supported by the shaft;a rotor connected to the hub and supporting a compressor section, the compressor section being arranged axially between the inlet case flow path and the intermediate case flow path;a bearing mounted to the hub and supporting the shaft relative to one of the intermediate case and the inlet case;a core inlet including the inlet case flow path and having a radially inner boundary that is spaced a first radial distance from the rotational axis, and a compressor section inlet having a radially inner boundary that is spaced a second radial distance from the rotational axis, wherein a ratio of the second radial distance to the first radial distance is of about 0.65 to about 0.9, wherein the radially inner boundary of the compressor section inlet is at a location of a compressor rotor; andwherein the compressor rotor is a first stage rotor of a low-pressure compressor. 23. A gas turbine engine comprising: a core housing including an inlet case and an intermediate case that respectively provide an inlet case flow path and an intermediate case flow path, a geared architecture arranged within the inlet case;a shaft providing a rotational axis, wherein the geared architecture is coupled to the shaft, and a fan is coupled to and rotationally driven by the geared architecture;a hub operatively supported by the shaft;a rotor connected to the hub and supporting a compressor section, the compressor section being arranged axially between the inlet case flow path and the intermediate case flow path;a bearing mounted to the hub and supporting the shaft relative to one of the intermediate case and the inlet case;a core inlet including the inlet case flow path and having a radially inner boundary that is spaced a first radial distance from the rotational axis, and a compressor section inlet having a radially inner boundary that is spaced a second radial distance from the rotational axis, wherein a ratio of the second radial distance to the first radial distance is of about 0.65 to about 0.9; andwherein the shaft includes a main shaft and a flex shaft, the flex shaft secured to the main shaft at a first end and including a second end opposite the first end, wherein the geared architecture includes a sun gear supported on the second end. 24. The gas turbine engine according to claim 23, wherein the shaft includes a hub secured to the main shaft, and the compressor section includes a rotor mounted to the hub. 25. The gas turbine engine according to claim 24, wherein the geared architecture includes a torque frame supporting multiple circumferentially arranged star gears intermeshing with the sun gear, the torque frame secured to the inlet case.