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Finding the Third Proportional to 424,887,309 and 914,344,821

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Solution

The third proportional to 424,887,309 and 914,344,821 is: 1,967,642,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,887,309 : 914,344,821 = 914,344,821 : x
  2. Step 2: Convert to fraction form
    424,887,309/914,344,821 = 914,344,821/x
  3. Step 3: Cross multiply
    424,887,309x = 914,344,821 × 914,344,821
  4. Step 4: Simplify right side
    424,887,309x = 836,026,451,689,522,048
  5. Step 5: Solve for x
    x = 836,026,451,689,522,048/424,887,309
  6. Step 6: Final answer
    x = 1,967,642,793.70

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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.