I come upon and see big bears every year living in Alaska; I get out and hike, hunt, fish, boat, etc... about 350 days a year; I do believe in vacations outside of the state from time to time.
While I love my .45 1911 Colts and Wilson Combat, they do not venture out with me into the bush.
Bear spray when it is above freezing; about half of the year. Backed by 12 gauge with Brenneke slugs or magnum hunting rifle. Pistol or revolver as a distant third; backup to a backup.
I wouldn't hunt a bear with a .45 pistol, why would I count on it to stop a charging bear? I don't.
YMMV as does the bear scat contents...
The lowest paid college major/degree in this country after graduation...
Now, go figure...