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Finding the Third Proportional to 465,867 and 998,165

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Solution

The third proportional to 465,867 and 998,165 is: 2,138,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,867 : 998,165 = 998,165 : x
  2. Step 2: Convert to fraction form
    465,867/998,165 = 998,165/x
  3. Step 3: Cross multiply
    465,867x = 998,165 × 998,165
  4. Step 4: Simplify right side
    465,867x = 996,333,367,225
  5. Step 5: Solve for x
    x = 996,333,367,225/465,867
  6. Step 6: Final answer
    x = 2,138,664.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.