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Finding the Third Proportional to 451,305 and 961,092

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Solution

The third proportional to 451,305 and 961,092 is: 2,046,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,305 : 961,092 = 961,092 : x
  2. Step 2: Convert to fraction form
    451,305/961,092 = 961,092/x
  3. Step 3: Cross multiply
    451,305x = 961,092 × 961,092
  4. Step 4: Simplify right side
    451,305x = 923,697,832,464
  5. Step 5: Solve for x
    x = 923,697,832,464/451,305
  6. Step 6: Final answer
    x = 2,046,726.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.