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Finding the Third Proportional to 646,669 and 978,949

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Solution

The third proportional to 646,669 and 978,949 is: 1,481,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,669 : 978,949 = 978,949 : x
  2. Step 2: Convert to fraction form
    646,669/978,949 = 978,949/x
  3. Step 3: Cross multiply
    646,669x = 978,949 × 978,949
  4. Step 4: Simplify right side
    646,669x = 958,341,144,601
  5. Step 5: Solve for x
    x = 958,341,144,601/646,669
  6. Step 6: Final answer
    x = 1,481,965.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.