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Finding the Third Proportional to 396,152,474 and 868,832,370

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Solution

The third proportional to 396,152,474 and 868,832,370 is: 1,905,502,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,152,474 : 868,832,370 = 868,832,370 : x
  2. Step 2: Convert to fraction form
    396,152,474/868,832,370 = 868,832,370/x
  3. Step 3: Cross multiply
    396,152,474x = 868,832,370 × 868,832,370
  4. Step 4: Simplify right side
    396,152,474x = 754,869,687,159,816,960
  5. Step 5: Solve for x
    x = 754,869,687,159,816,960/396,152,474
  6. Step 6: Final answer
    x = 1,905,502,897.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.