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To convert from people per square kilometer to people per square meter, we need to divide the population density by 1,000 (since there are 1,000 square meters in a square kilometer).
Population density in people per square meter = 5377 people/km^2 / 1000 = 5.377 people/m^2
Therefore, the population density of Rio de Janeiro in 2016 was 5.377 people per square meter.