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Finding the Third Proportional to 461,344 and 998,504

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Solution

The third proportional to 461,344 and 998,504 is: 2,161,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,344 : 998,504 = 998,504 : x
  2. Step 2: Convert to fraction form
    461,344/998,504 = 998,504/x
  3. Step 3: Cross multiply
    461,344x = 998,504 × 998,504
  4. Step 4: Simplify right side
    461,344x = 997,010,238,016
  5. Step 5: Solve for x
    x = 997,010,238,016/461,344
  6. Step 6: Final answer
    x = 2,161,099.39

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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.