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Finding the Third Proportional to 409,861,770 and 629,592,597

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Solution

The third proportional to 409,861,770 and 629,592,597 is: 967,123,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,770 : 629,592,597 = 629,592,597 : x
  2. Step 2: Convert to fraction form
    409,861,770/629,592,597 = 629,592,597/x
  3. Step 3: Cross multiply
    409,861,770x = 629,592,597 × 629,592,597
  4. Step 4: Simplify right side
    409,861,770x = 396,386,838,197,204,416
  5. Step 5: Solve for x
    x = 396,386,838,197,204,416/409,861,770
  6. Step 6: Final answer
    x = 967,123,228.39

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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.