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Finding the Third Proportional to 461,216 and 992,227

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Solution

The third proportional to 461,216 and 992,227 is: 2,134,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,216 : 992,227 = 992,227 : x
  2. Step 2: Convert to fraction form
    461,216/992,227 = 992,227/x
  3. Step 3: Cross multiply
    461,216x = 992,227 × 992,227
  4. Step 4: Simplify right side
    461,216x = 984,514,419,529
  5. Step 5: Solve for x
    x = 984,514,419,529/461,216
  6. Step 6: Final answer
    x = 2,134,605.95

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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.