The rifles that can deliver the performance required for hits on practical sized targets at 1,760+ are very specialized and quite expensive, both to buy and to shoot.
Do a search for ".338 Lapua" or for "CheyTac". The current joke is "I thought my rifle was chambered for .338 Lapua, but it's really chambered for five dollar bills", but, that's really not a joke and the CheyTacs are worse.
Even with a suitable rifle, quite a bit of marksmanship and especially doping of environmental conditions comes into play when one says "1 mile". Ever heard of the "Coriolis Effect"? How about "spin drift"? "Density altitude"? Do you have a way to range 1 mile?
Even at that, finding a safe place to shoot that far is tough and many folks can't find a spot to shoot to even 1k. I drive an hour to shoot 1k, almost 3 hours to get 1,200, and have only had the opportunity to shoot much further on a couple of occasions. Perhaps you are more fortunate, and much practice at these extended ranges will be needed to even begin to have the skills needed for confidence.
I'd suggest that marksmanship and environmental skills be honed at more realistic distances prior to wasting money on a rifle that needs a highly qualified driver and is only truly justified in certain circumstances anyway.
Start with a .22, and once one can keep them all on a 1 gallon milk jug at 200 yards, go to a .308 and work to 1,000 to 1,200 yards. Once all rounds can be kept on a B target at that range, a good understanding of what is really needed for reliable long range hits exists and it *might* be worth the multi-thousand dollar investment to get into a true "extreme range" rifle.