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Finding the Third Proportional to 466,992 and 996,192

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Solution

The third proportional to 466,992 and 996,192 is: 2,125,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,992 : 996,192 = 996,192 : x
  2. Step 2: Convert to fraction form
    466,992/996,192 = 996,192/x
  3. Step 3: Cross multiply
    466,992x = 996,192 × 996,192
  4. Step 4: Simplify right side
    466,992x = 992,398,500,864
  5. Step 5: Solve for x
    x = 992,398,500,864/466,992
  6. Step 6: Final answer
    x = 2,125,086.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.