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Finding the Third Proportional to 542,311.88 and 1,035,416.25

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Solution

The third proportional to 542,311.88 and 1,035,416.25 is: 1,976,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,311.88 : 1,035,416.25 = 1,035,416.25 : x
  2. Step 2: Convert to fraction form
    542,311.88/1,035,416.25 = 1,035,416.25/x
  3. Step 3: Cross multiply
    542,311.88x = 1,035,416.25 × 1,035,416.25
  4. Step 4: Simplify right side
    542,311.88x = 1,072,086,810,764.06
  5. Step 5: Solve for x
    x = 1,072,086,810,764.06/542,311.88
  6. Step 6: Final answer
    x = 1,976,882.42

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.