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Finding the Third Proportional to 404,429,564 and 871,155,822

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Solution

The third proportional to 404,429,564 and 871,155,822 is: 1,876,500,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,429,564 : 871,155,822 = 871,155,822 : x
  2. Step 2: Convert to fraction form
    404,429,564/871,155,822 = 871,155,822/x
  3. Step 3: Cross multiply
    404,429,564x = 871,155,822 × 871,155,822
  4. Step 4: Simplify right side
    404,429,564x = 758,912,466,204,495,744
  5. Step 5: Solve for x
    x = 758,912,466,204,495,744/404,429,564
  6. Step 6: Final answer
    x = 1,876,500,962.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.