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Finding the Third Proportional to 998,824.50 and 2,165,713.88

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Solution

The third proportional to 998,824.50 and 2,165,713.88 is: 4,695,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,824.50 : 2,165,713.88 = 2,165,713.88 : x
  2. Step 2: Convert to fraction form
    998,824.50/2,165,713.88 = 2,165,713.88/x
  3. Step 3: Cross multiply
    998,824.50x = 2,165,713.88 × 2,165,713.88
  4. Step 4: Simplify right side
    998,824.50x = 4,690,316,588,367.52
  5. Step 5: Solve for x
    x = 4,690,316,588,367.52/998,824.50
  6. Step 6: Final answer
    x = 4,695,836.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.