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Finding the Third Proportional to 424,887,177 and 914,344,456

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Solution

The third proportional to 424,887,177 and 914,344,456 is: 1,967,641,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,887,177 : 914,344,456 = 914,344,456 : x
  2. Step 2: Convert to fraction form
    424,887,177/914,344,456 = 914,344,456/x
  3. Step 3: Cross multiply
    424,887,177x = 914,344,456 × 914,344,456
  4. Step 4: Simplify right side
    424,887,177x = 836,025,784,217,935,872
  5. Step 5: Solve for x
    x = 836,025,784,217,935,872/424,887,177
  6. Step 6: Final answer
    x = 1,967,641,834.05

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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.