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Finding the Third Proportional to 411,252 and 951,992

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Solution

The third proportional to 411,252 and 951,992 is: 2,203,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,252 : 951,992 = 951,992 : x
  2. Step 2: Convert to fraction form
    411,252/951,992 = 951,992/x
  3. Step 3: Cross multiply
    411,252x = 951,992 × 951,992
  4. Step 4: Simplify right side
    411,252x = 906,288,768,064
  5. Step 5: Solve for x
    x = 906,288,768,064/411,252
  6. Step 6: Final answer
    x = 2,203,730.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.