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Finding the Third Proportional to 543,744 and 1,198,080

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Solution

The third proportional to 543,744 and 1,198,080 is: 2,639,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,744 : 1,198,080 = 1,198,080 : x
  2. Step 2: Convert to fraction form
    543,744/1,198,080 = 1,198,080/x
  3. Step 3: Cross multiply
    543,744x = 1,198,080 × 1,198,080
  4. Step 4: Simplify right side
    543,744x = 1,435,395,686,400
  5. Step 5: Solve for x
    x = 1,435,395,686,400/543,744
  6. Step 6: Final answer
    x = 2,639,837.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.