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Finding the Third Proportional to 709,537 and 1,071,676

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Solution

The third proportional to 709,537 and 1,071,676 is: 1,618,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,537 : 1,071,676 = 1,071,676 : x
  2. Step 2: Convert to fraction form
    709,537/1,071,676 = 1,071,676/x
  3. Step 3: Cross multiply
    709,537x = 1,071,676 × 1,071,676
  4. Step 4: Simplify right side
    709,537x = 1,148,489,448,976
  5. Step 5: Solve for x
    x = 1,148,489,448,976/709,537
  6. Step 6: Final answer
    x = 1,618,646.31

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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.