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Finding the Third Proportional to 647,687 and 905,718

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Solution

The third proportional to 647,687 and 905,718 is: 1,266,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,687 : 905,718 = 905,718 : x
  2. Step 2: Convert to fraction form
    647,687/905,718 = 905,718/x
  3. Step 3: Cross multiply
    647,687x = 905,718 × 905,718
  4. Step 4: Simplify right side
    647,687x = 820,325,095,524
  5. Step 5: Solve for x
    x = 820,325,095,524/647,687
  6. Step 6: Final answer
    x = 1,266,545.56

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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.