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Finding the Third Proportional to 720,616.50 and 1,668,053.25

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Solution

The third proportional to 720,616.50 and 1,668,053.25 is: 3,861,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,616.50 : 1,668,053.25 = 1,668,053.25 : x
  2. Step 2: Convert to fraction form
    720,616.50/1,668,053.25 = 1,668,053.25/x
  3. Step 3: Cross multiply
    720,616.50x = 1,668,053.25 × 1,668,053.25
  4. Step 4: Simplify right side
    720,616.50x = 2,782,401,644,835.56
  5. Step 5: Solve for x
    x = 2,782,401,644,835.56/720,616.50
  6. Step 6: Final answer
    x = 3,861,140.63

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.