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Finding the Third Proportional to 419,375,106 and 656,442,450

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Solution

The third proportional to 419,375,106 and 656,442,450 is: 1,027,520,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,375,106 : 656,442,450 = 656,442,450 : x
  2. Step 2: Convert to fraction form
    419,375,106/656,442,450 = 656,442,450/x
  3. Step 3: Cross multiply
    419,375,106x = 656,442,450 × 656,442,450
  4. Step 4: Simplify right side
    419,375,106x = 430,916,690,162,002,496
  5. Step 5: Solve for x
    x = 430,916,690,162,002,496/419,375,106
  6. Step 6: Final answer
    x = 1,027,520,909.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.