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Finding the Third Proportional to 500,939.44 and 1,181,350.83

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Solution

The third proportional to 500,939.44 and 1,181,350.83 is: 2,785,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,939.44 : 1,181,350.83 = 1,181,350.83 : x
  2. Step 2: Convert to fraction form
    500,939.44/1,181,350.83 = 1,181,350.83/x
  3. Step 3: Cross multiply
    500,939.44x = 1,181,350.83 × 1,181,350.83
  4. Step 4: Simplify right side
    500,939.44x = 1,395,589,779,111.62
  5. Step 5: Solve for x
    x = 1,395,589,779,111.62/500,939.44
  6. Step 6: Final answer
    x = 2,785,945.12

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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.