The Latin root mag- means "great, large". It underlies words such as:
"magnitude" from Latin magnitudo "greatness, size"
"magnify" from Latin magnificare "to make greater, to extol"
"master" from Latin magister "the greater one, master"
The Greek root mega- as in "megaphone" or "megabyte" is ultimately from the same source, Proto-Indo-European *meg-, "great".
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