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Finding the Third Proportional to 409,861,948 and 629,592,838

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Solution

The third proportional to 409,861,948 and 629,592,838 is: 967,123,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,948 : 629,592,838 = 629,592,838 : x
  2. Step 2: Convert to fraction form
    409,861,948/629,592,838 = 629,592,838/x
  3. Step 3: Cross multiply
    409,861,948x = 629,592,838 × 629,592,838
  4. Step 4: Simplify right side
    409,861,948x = 396,387,141,660,894,272
  5. Step 5: Solve for x
    x = 396,387,141,660,894,272/409,861,948
  6. Step 6: Final answer
    x = 967,123,548.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.