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Finding the Third Proportional to 998,760.38 and 1,523,017.69

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Solution

The third proportional to 998,760.38 and 1,523,017.69 is: 2,322,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,760.38 : 1,523,017.69 = 1,523,017.69 : x
  2. Step 2: Convert to fraction form
    998,760.38/1,523,017.69 = 1,523,017.69/x
  3. Step 3: Cross multiply
    998,760.38x = 1,523,017.69 × 1,523,017.69
  4. Step 4: Simplify right side
    998,760.38x = 2,319,582,876,437.85
  5. Step 5: Solve for x
    x = 2,319,582,876,437.85/998,760.38
  6. Step 6: Final answer
    x = 2,322,461.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.