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Finding the Third Proportional to 542,682 and 1,100,142

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Solution

The third proportional to 542,682 and 1,100,142 is: 2,230,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,682 : 1,100,142 = 1,100,142 : x
  2. Step 2: Convert to fraction form
    542,682/1,100,142 = 1,100,142/x
  3. Step 3: Cross multiply
    542,682x = 1,100,142 × 1,100,142
  4. Step 4: Simplify right side
    542,682x = 1,210,312,420,164
  5. Step 5: Solve for x
    x = 1,210,312,420,164/542,682
  6. Step 6: Final answer
    x = 2,230,242.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.