Pro-

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Across
  1. 3. the result of multiplication
  2. 5. to start or begin
  3. 6. to make a suggestion, such as marriage
  4. 7. to give something
Down
  1. 1. to waste time
  2. 2. to encourage someone to use something
  3. 4. to move forwards
  4. 5. to be in favour of battle