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Finding the Third Proportional to 666,238.50 and 1,465,306.88

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Solution

The third proportional to 666,238.50 and 1,465,306.88 is: 3,222,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,238.50 : 1,465,306.88 = 1,465,306.88 : x
  2. Step 2: Convert to fraction form
    666,238.50/1,465,306.88 = 1,465,306.88/x
  3. Step 3: Cross multiply
    666,238.50x = 1,465,306.88 × 1,465,306.88
  4. Step 4: Simplify right side
    666,238.50x = 2,147,124,237,922.27
  5. Step 5: Solve for x
    x = 2,147,124,237,922.27/666,238.50
  6. Step 6: Final answer
    x = 3,222,756.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.