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Finding the Third Proportional to 461,326 and 998,469

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Solution

The third proportional to 461,326 and 998,469 is: 2,161,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,326 : 998,469 = 998,469 : x
  2. Step 2: Convert to fraction form
    461,326/998,469 = 998,469/x
  3. Step 3: Cross multiply
    461,326x = 998,469 × 998,469
  4. Step 4: Simplify right side
    461,326x = 996,940,343,961
  5. Step 5: Solve for x
    x = 996,940,343,961/461,326
  6. Step 6: Final answer
    x = 2,161,032.21

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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.