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Finding the Third Proportional to 647,690 and 905,720

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Solution

The third proportional to 647,690 and 905,720 is: 1,266,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,690 : 905,720 = 905,720 : x
  2. Step 2: Convert to fraction form
    647,690/905,720 = 905,720/x
  3. Step 3: Cross multiply
    647,690x = 905,720 × 905,720
  4. Step 4: Simplify right side
    647,690x = 820,328,718,400
  5. Step 5: Solve for x
    x = 820,328,718,400/647,690
  6. Step 6: Final answer
    x = 1,266,545.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.