The transaction works out at about $33.50 (£20.70) per share, and is expected to be completed by the end of July.
"We look forward to bringing Data Domain together with EMC to form a powerful force in next-generation, disk-based backup and archive," said EMC chief executive and chairman Joe Tucci.
"I have tremendous respect for Data Domain's people, technology and business, and anticipate great things ahead for our respective companies, customers and partners."
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