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Finding the Third Proportional to 542,612.25 and 1,178,610.75

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Solution

The third proportional to 542,612.25 and 1,178,610.75 is: 2,560,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,612.25 : 1,178,610.75 = 1,178,610.75 : x
  2. Step 2: Convert to fraction form
    542,612.25/1,178,610.75 = 1,178,610.75/x
  3. Step 3: Cross multiply
    542,612.25x = 1,178,610.75 × 1,178,610.75
  4. Step 4: Simplify right side
    542,612.25x = 1,389,123,300,015.56
  5. Step 5: Solve for x
    x = 1,389,123,300,015.56/542,612.25
  6. Step 6: Final answer
    x = 2,560,066.24

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Why These Related Problems?

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