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Finding the Third Proportional to 666,211.50 and 1,465,283.25

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Solution

The third proportional to 666,211.50 and 1,465,283.25 is: 3,222,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,211.50 : 1,465,283.25 = 1,465,283.25 : x
  2. Step 2: Convert to fraction form
    666,211.50/1,465,283.25 = 1,465,283.25/x
  3. Step 3: Cross multiply
    666,211.50x = 1,465,283.25 × 1,465,283.25
  4. Step 4: Simplify right side
    666,211.50x = 2,147,055,002,730.56
  5. Step 5: Solve for x
    x = 2,147,055,002,730.56/666,211.50
  6. Step 6: Final answer
    x = 3,222,782.86

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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.