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Finding the Third Proportional to 542,836 and 1,192,744

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Solution

The third proportional to 542,836 and 1,192,744 is: 2,620,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,836 : 1,192,744 = 1,192,744 : x
  2. Step 2: Convert to fraction form
    542,836/1,192,744 = 1,192,744/x
  3. Step 3: Cross multiply
    542,836x = 1,192,744 × 1,192,744
  4. Step 4: Simplify right side
    542,836x = 1,422,638,249,536
  5. Step 5: Solve for x
    x = 1,422,638,249,536/542,836
  6. Step 6: Final answer
    x = 2,620,751.48

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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.