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Finding the Third Proportional to 415,688,440 and 581,156,942

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Solution

The third proportional to 415,688,440 and 581,156,942 is: 812,491,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,688,440 : 581,156,942 = 581,156,942 : x
  2. Step 2: Convert to fraction form
    415,688,440/581,156,942 = 581,156,942/x
  3. Step 3: Cross multiply
    415,688,440x = 581,156,942 × 581,156,942
  4. Step 4: Simplify right side
    415,688,440x = 337,743,391,234,791,360
  5. Step 5: Solve for x
    x = 337,743,391,234,791,360/415,688,440
  6. Step 6: Final answer
    x = 812,491,661.39

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Why These Related Problems?

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