Generally speaking, only poor people carry the minimum liability insurance. Everyone else carries limits closer to yours, at least for damage to people; I mean, doing 3 million in damage to a human, I can see that. Doing that much damage to property would be... completely destroying a really nice house, which is unlikely. Also, by American standards, your rates look unrealistically low. maybe you could get something close to your level of liability coverage for that much every month.
But... uh, yeah, this brings up another point (and why I don't know how much just a few million in liability would cost) - everyone who isn't poor here carries what's called "uninsured motorist" coverage... this is essentially insurance that covers damage to me if someone with minimum coverage is at fault and I get hurt and they can't pay.
As for relative price typically one would be looking at around $300-600 per year, depending on age, driving history, type of car etc. Granted with our universal health care I suspect that our average out-of-pocket medical expenses for injuries from car accidents are lower than the US.
(that "basic" insurance costs me $150 for the whole year and allows me to drive anywhere within EU for unlimited period of time. I also have full comprehensive cover for which I pay another $500 for a full year that insures me against damages to my own vehicle and provides EU-wide breakdown cover).