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Finding the Third Proportional to 998,689.50 and 1,413,115.88

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Solution

The third proportional to 998,689.50 and 1,413,115.88 is: 1,999,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,689.50 : 1,413,115.88 = 1,413,115.88 : x
  2. Step 2: Convert to fraction form
    998,689.50/1,413,115.88 = 1,413,115.88/x
  3. Step 3: Cross multiply
    998,689.50x = 1,413,115.88 × 1,413,115.88
  4. Step 4: Simplify right side
    998,689.50x = 1,996,896,476,177.02
  5. Step 5: Solve for x
    x = 1,996,896,476,177.02/998,689.50
  6. Step 6: Final answer
    x = 1,999,516.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.