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Finding the Third Proportional to 458,694 and 993,934

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Solution

The third proportional to 458,694 and 993,934 is: 2,153,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,694 : 993,934 = 993,934 : x
  2. Step 2: Convert to fraction form
    458,694/993,934 = 993,934/x
  3. Step 3: Cross multiply
    458,694x = 993,934 × 993,934
  4. Step 4: Simplify right side
    458,694x = 987,904,796,356
  5. Step 5: Solve for x
    x = 987,904,796,356/458,694
  6. Step 6: Final answer
    x = 2,153,733.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.