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Finding the Third Proportional to 541,840 and 1,188,672

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Solution

The third proportional to 541,840 and 1,188,672 is: 2,607,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,840 : 1,188,672 = 1,188,672 : x
  2. Step 2: Convert to fraction form
    541,840/1,188,672 = 1,188,672/x
  3. Step 3: Cross multiply
    541,840x = 1,188,672 × 1,188,672
  4. Step 4: Simplify right side
    541,840x = 1,412,941,123,584
  5. Step 5: Solve for x
    x = 1,412,941,123,584/541,840
  6. Step 6: Final answer
    x = 2,607,672.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.