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Finding the Third Proportional to 461,340 and 998,496

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Solution

The third proportional to 461,340 and 998,496 is: 2,161,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,340 : 998,496 = 998,496 : x
  2. Step 2: Convert to fraction form
    461,340/998,496 = 998,496/x
  3. Step 3: Cross multiply
    461,340x = 998,496 × 998,496
  4. Step 4: Simplify right side
    461,340x = 996,994,262,016
  5. Step 5: Solve for x
    x = 996,994,262,016/461,340
  6. Step 6: Final answer
    x = 2,161,083.50

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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.