Hello Warren,
We researched your question and came up with different results than you. When we compared the Esri 2010 Total Population of BlockGroups to that of the US Census (American Fact Finder) they matched. For example:
We pulled these figures from American Fact Finder:
Block Group 1, Census Tract 1926.10, Los Angeles city (part), Los Angeles CCD, Los Angeles County, California - Total 1368
Block Group 2, Census Tract 1926.10, Los Angeles city (part), Los Angeles CCD, Los Angeles County, California - Total 889
And this matches our values.
060371926101 1368
060371926102 889
However, the values on your 'Downloaded from Census' tab on the attached spreadsheet are different:
060371926101 1324
060371926102 882
I'm not sure why your totals differ. Could you tell me exactly where your totals are coming from?