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Finding the Third Proportional to 491,695.31 and 1,072,753.88

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Solution

The third proportional to 491,695.31 and 1,072,753.88 is: 2,340,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,695.31 : 1,072,753.88 = 1,072,753.88 : x
  2. Step 2: Convert to fraction form
    491,695.31/1,072,753.88 = 1,072,753.88/x
  3. Step 3: Cross multiply
    491,695.31x = 1,072,753.88 × 1,072,753.88
  4. Step 4: Simplify right side
    491,695.31x = 1,150,800,876,327.52
  5. Step 5: Solve for x
    x = 1,150,800,876,327.52/491,695.31
  6. Step 6: Final answer
    x = 2,340,475.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.