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Finding the Third Proportional to 419,366,052 and 656,428,131

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Solution

The third proportional to 419,366,052 and 656,428,131 is: 1,027,498,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,366,052 : 656,428,131 = 656,428,131 : x
  2. Step 2: Convert to fraction form
    419,366,052/656,428,131 = 656,428,131/x
  3. Step 3: Cross multiply
    419,366,052x = 656,428,131 × 656,428,131
  4. Step 4: Simplify right side
    419,366,052x = 430,897,891,168,153,152
  5. Step 5: Solve for x
    x = 430,897,891,168,153,152/419,366,052
  6. Step 6: Final answer
    x = 1,027,498,265.81

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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.