The author just threw out data (with no explanation of their methodology) until they got the American rate similar to the UK rate and then stopped so they could assert that there's absolutely nothing wrong with the US health industry. The author would have been fully aware of the regional differences in the US because the Economist article is a response to the various articles this summer about maternal deaths in the US which have generally focused heavily on the California Maternal Quality Care Collaborative and the improvements California has made compared to other states[2][3].
Not that I'd take the 21 year old interns writing without bylines in The Economist very seriously on health matters (or anything else for that matter).
[1] https://archive.cdph.ca.gov/programs/mcah/Documents/MCAH%20B... [2] https://www.vox.com/science-and-health/2017/6/29/15830970/wo... [3] http://www.npr.org/2017/05/12/527806002/focus-on-infants-dur...