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Finding the Third Proportional to 461,781 and 998,001

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Solution

The third proportional to 461,781 and 998,001 is: 2,156,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,781 : 998,001 = 998,001 : x
  2. Step 2: Convert to fraction form
    461,781/998,001 = 998,001/x
  3. Step 3: Cross multiply
    461,781x = 998,001 × 998,001
  4. Step 4: Simplify right side
    461,781x = 996,005,996,001
  5. Step 5: Solve for x
    x = 996,005,996,001/461,781
  6. Step 6: Final answer
    x = 2,156,879.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.