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Finding the Third Proportional to 542,656.13 and 1,181,742.75

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Solution

The third proportional to 542,656.13 and 1,181,742.75 is: 2,573,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,656.13 : 1,181,742.75 = 1,181,742.75 : x
  2. Step 2: Convert to fraction form
    542,656.13/1,181,742.75 = 1,181,742.75/x
  3. Step 3: Cross multiply
    542,656.13x = 1,181,742.75 × 1,181,742.75
  4. Step 4: Simplify right side
    542,656.13x = 1,396,515,927,177.56
  5. Step 5: Solve for x
    x = 1,396,515,927,177.56/542,656.13
  6. Step 6: Final answer
    x = 2,573,482.29

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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.