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Finding the Third Proportional to 543,844.13 and 1,181,121.75

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Solution

The third proportional to 543,844.13 and 1,181,121.75 is: 2,565,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,844.13 : 1,181,121.75 = 1,181,121.75 : x
  2. Step 2: Convert to fraction form
    543,844.13/1,181,121.75 = 1,181,121.75/x
  3. Step 3: Cross multiply
    543,844.13x = 1,181,121.75 × 1,181,121.75
  4. Step 4: Simplify right side
    543,844.13x = 1,395,048,588,323.06
  5. Step 5: Solve for x
    x = 1,395,048,588,323.06/543,844.13
  6. Step 6: Final answer
    x = 2,565,162.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.