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Finding the Third Proportional to 542,023 and 1,145,092

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Solution

The third proportional to 542,023 and 1,145,092 is: 2,419,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,023 : 1,145,092 = 1,145,092 : x
  2. Step 2: Convert to fraction form
    542,023/1,145,092 = 1,145,092/x
  3. Step 3: Cross multiply
    542,023x = 1,145,092 × 1,145,092
  4. Step 4: Simplify right side
    542,023x = 1,311,235,688,464
  5. Step 5: Solve for x
    x = 1,311,235,688,464/542,023
  6. Step 6: Final answer
    x = 2,419,151.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.