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An simple ester is name as alkyl alkanoate where "alkyl" represents the alcohol part and "alkanoate" represents the alkanoic acid part. For example, the alcohol part in the ester in CH3COOCH3 is methanol and the alkanoic acid part is ethanoic acid, and thus the ester is named as methyl ethanoate.
The given compound is an ester. The name "propane-1,2,3-triyl" tells us that the alcohol part of the ester is propane-1,2,3-triol (CH2OH-CHOH-CH2OH) which can form 3 ester linkages. The name "triethanoate" tells us that the 3 alkanoic acid parts of the ester are ethanoic acid (CH3COOH). The 3 ester linkages are formed by dehydration of the tri-ol and 3 ethanoic acid molecules.