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Finding the Third Proportional to 542,371 and 1,129,632

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Solution

The third proportional to 542,371 and 1,129,632 is: 2,352,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,371 : 1,129,632 = 1,129,632 : x
  2. Step 2: Convert to fraction form
    542,371/1,129,632 = 1,129,632/x
  3. Step 3: Cross multiply
    542,371x = 1,129,632 × 1,129,632
  4. Step 4: Simplify right side
    542,371x = 1,276,068,455,424
  5. Step 5: Solve for x
    x = 1,276,068,455,424/542,371
  6. Step 6: Final answer
    x = 2,352,759.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.