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Finding the Third Proportional to 542,632 and 1,178,680

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Solution

The third proportional to 542,632 and 1,178,680 is: 2,560,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,632 : 1,178,680 = 1,178,680 : x
  2. Step 2: Convert to fraction form
    542,632/1,178,680 = 1,178,680/x
  3. Step 3: Cross multiply
    542,632x = 1,178,680 × 1,178,680
  4. Step 4: Simplify right side
    542,632x = 1,389,286,542,400
  5. Step 5: Solve for x
    x = 1,389,286,542,400/542,632
  6. Step 6: Final answer
    x = 2,560,273.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.