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Finding the Third Proportional to 782,419.50 and 1,668,184.88

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Solution

The third proportional to 782,419.50 and 1,668,184.88 is: 3,556,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,419.50 : 1,668,184.88 = 1,668,184.88 : x
  2. Step 2: Convert to fraction form
    782,419.50/1,668,184.88 = 1,668,184.88/x
  3. Step 3: Cross multiply
    782,419.50x = 1,668,184.88 × 1,668,184.88
  4. Step 4: Simplify right side
    782,419.50x = 2,782,840,777,178.77
  5. Step 5: Solve for x
    x = 2,782,840,777,178.77/782,419.50
  6. Step 6: Final answer
    x = 3,556,711.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.