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Finding the Third Proportional to 461,862 and 992,484

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Solution

The third proportional to 461,862 and 992,484 is: 2,132,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,862 : 992,484 = 992,484 : x
  2. Step 2: Convert to fraction form
    461,862/992,484 = 992,484/x
  3. Step 3: Cross multiply
    461,862x = 992,484 × 992,484
  4. Step 4: Simplify right side
    461,862x = 985,024,490,256
  5. Step 5: Solve for x
    x = 985,024,490,256/461,862
  6. Step 6: Final answer
    x = 2,132,724.69

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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.