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Finding the Third Proportional to 782,438.06 and 1,668,216.94

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Solution

The third proportional to 782,438.06 and 1,668,216.94 is: 3,556,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,438.06 : 1,668,216.94 = 1,668,216.94 : x
  2. Step 2: Convert to fraction form
    782,438.06/1,668,216.94 = 1,668,216.94/x
  3. Step 3: Cross multiply
    782,438.06x = 1,668,216.94 × 1,668,216.94
  4. Step 4: Simplify right side
    782,438.06x = 2,782,947,750,561.88
  5. Step 5: Solve for x
    x = 2,782,947,750,561.88/782,438.06
  6. Step 6: Final answer
    x = 3,556,764.28

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