[/nq] My dictionary shows that "extrapolate" is a modification of "interpolate" rather than a modification of "polate", and that "interpolate" comes directly from Latin. My little Latin dictionary shows no etymology for "interpol -o -are -avi -atus" (to refurbish). It may be like "pregnant", which is not a modified form of "gnant" even though it starts with the English prefix "pre".
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