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Finding the Third Proportional to 753,016.13 and 1,147,171.88

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Solution

The third proportional to 753,016.13 and 1,147,171.88 is: 1,747,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,016.13 : 1,147,171.88 = 1,147,171.88 : x
  2. Step 2: Convert to fraction form
    753,016.13/1,147,171.88 = 1,147,171.88/x
  3. Step 3: Cross multiply
    753,016.13x = 1,147,171.88 × 1,147,171.88
  4. Step 4: Simplify right side
    753,016.13x = 1,316,003,310,791.02
  5. Step 5: Solve for x
    x = 1,316,003,310,791.02/753,016.13
  6. Step 6: Final answer
    x = 1,747,642.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.