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Finding the Third Proportional to 461,334 and 998,484

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Solution

The third proportional to 461,334 and 998,484 is: 2,161,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,334 : 998,484 = 998,484 : x
  2. Step 2: Convert to fraction form
    461,334/998,484 = 998,484/x
  3. Step 3: Cross multiply
    461,334x = 998,484 × 998,484
  4. Step 4: Simplify right side
    461,334x = 996,970,298,256
  5. Step 5: Solve for x
    x = 996,970,298,256/461,334
  6. Step 6: Final answer
    x = 2,161,059.66

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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.