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Finding the Third Proportional to 543,040 and 1,192,920

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Solution

The third proportional to 543,040 and 1,192,920 is: 2,620,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,040 : 1,192,920 = 1,192,920 : x
  2. Step 2: Convert to fraction form
    543,040/1,192,920 = 1,192,920/x
  3. Step 3: Cross multiply
    543,040x = 1,192,920 × 1,192,920
  4. Step 4: Simplify right side
    543,040x = 1,423,058,126,400
  5. Step 5: Solve for x
    x = 1,423,058,126,400/543,040
  6. Step 6: Final answer
    x = 2,620,540.16

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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.