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Finding the Third Proportional to 391,181.91 and 857,109.09

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Solution

The third proportional to 391,181.91 and 857,109.09 is: 1,877,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,181.91 : 857,109.09 = 857,109.09 : x
  2. Step 2: Convert to fraction form
    391,181.91/857,109.09 = 857,109.09/x
  3. Step 3: Cross multiply
    391,181.91x = 857,109.09 × 857,109.09
  4. Step 4: Simplify right side
    391,181.91x = 734,635,998,588.95
  5. Step 5: Solve for x
    x = 734,635,998,588.95/391,181.91
  6. Step 6: Final answer
    x = 1,877,990.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.