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Finding the Third Proportional to 461,874 and 992,508

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Solution

The third proportional to 461,874 and 992,508 is: 2,132,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,874 : 992,508 = 992,508 : x
  2. Step 2: Convert to fraction form
    461,874/992,508 = 992,508/x
  3. Step 3: Cross multiply
    461,874x = 992,508 × 992,508
  4. Step 4: Simplify right side
    461,874x = 985,072,130,064
  5. Step 5: Solve for x
    x = 985,072,130,064/461,874
  6. Step 6: Final answer
    x = 2,132,772.42

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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.