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Finding the Third Proportional to 541,642 and 1,173,680

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Solution

The third proportional to 541,642 and 1,173,680 is: 2,543,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,642 : 1,173,680 = 1,173,680 : x
  2. Step 2: Convert to fraction form
    541,642/1,173,680 = 1,173,680/x
  3. Step 3: Cross multiply
    541,642x = 1,173,680 × 1,173,680
  4. Step 4: Simplify right side
    541,642x = 1,377,524,742,400
  5. Step 5: Solve for x
    x = 1,377,524,742,400/541,642
  6. Step 6: Final answer
    x = 2,543,238.42

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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.