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Finding the Third Proportional to 542,902.50 and 1,192,876.88

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Solution

The third proportional to 542,902.50 and 1,192,876.88 is: 2,621,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,902.50 : 1,192,876.88 = 1,192,876.88 : x
  2. Step 2: Convert to fraction form
    542,902.50/1,192,876.88 = 1,192,876.88/x
  3. Step 3: Cross multiply
    542,902.50x = 1,192,876.88 × 1,192,876.88
  4. Step 4: Simplify right side
    542,902.50x = 1,422,955,238,909.77
  5. Step 5: Solve for x
    x = 1,422,955,238,909.77/542,902.50
  6. Step 6: Final answer
    x = 2,621,014.34

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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.