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Finding the Third Proportional to 500,811.19 and 1,181,040.75

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Solution

The third proportional to 500,811.19 and 1,181,040.75 is: 2,785,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,811.19 : 1,181,040.75 = 1,181,040.75 : x
  2. Step 2: Convert to fraction form
    500,811.19/1,181,040.75 = 1,181,040.75/x
  3. Step 3: Cross multiply
    500,811.19x = 1,181,040.75 × 1,181,040.75
  4. Step 4: Simplify right side
    500,811.19x = 1,394,857,253,160.56
  5. Step 5: Solve for x
    x = 1,394,857,253,160.56/500,811.19
  6. Step 6: Final answer
    x = 2,785,195.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.