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Finding the Third Proportional to 998,461.69 and 2,186,989.88

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Solution

The third proportional to 998,461.69 and 2,186,989.88 is: 4,790,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,461.69 : 2,186,989.88 = 2,186,989.88 : x
  2. Step 2: Convert to fraction form
    998,461.69/2,186,989.88 = 2,186,989.88/x
  3. Step 3: Cross multiply
    998,461.69x = 2,186,989.88 × 2,186,989.88
  4. Step 4: Simplify right side
    998,461.69x = 4,782,924,713,352.52
  5. Step 5: Solve for x
    x = 4,782,924,713,352.52/998,461.69
  6. Step 6: Final answer
    x = 4,790,293.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.