Have a free market in health care. (The U.S. health care market is anything but a free market.)
If you don't have money, society shouldn't just let you die. The second you try to fix that (with government) you don't have a free market.
Health care was a lot cheaper then, and charity was available for poor people.
Sources: 1965 number from: https://www.cdc.gov/nchs/data/series/sr_20/sr20_020acc.pdf 2016 number from: https://en.wikipedia.org/wiki/List_of_countries_by_infant_an...
https://www2.census.gov/library/publications/1960/compendia/...
You can see by the other stats in the PDF that all measures of health improved dramatically 1800-1960.