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Finding the Third Proportional to 507,454,567 and 807,466,418

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Solution

The third proportional to 507,454,567 and 807,466,418 is: 1,284,848,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,454,567 : 807,466,418 = 807,466,418 : x
  2. Step 2: Convert to fraction form
    507,454,567/807,466,418 = 807,466,418/x
  3. Step 3: Cross multiply
    507,454,567x = 807,466,418 × 807,466,418
  4. Step 4: Simplify right side
    507,454,567x = 652,002,016,197,750,784
  5. Step 5: Solve for x
    x = 652,002,016,197,750,784/507,454,567
  6. Step 6: Final answer
    x = 1,284,848,060.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.