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Finding the Third Proportional to 668,310 and 1,469,548

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Solution

The third proportional to 668,310 and 1,469,548 is: 3,231,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,310 : 1,469,548 = 1,469,548 : x
  2. Step 2: Convert to fraction form
    668,310/1,469,548 = 1,469,548/x
  3. Step 3: Cross multiply
    668,310x = 1,469,548 × 1,469,548
  4. Step 4: Simplify right side
    668,310x = 2,159,571,324,304
  5. Step 5: Solve for x
    x = 2,159,571,324,304/668,310
  6. Step 6: Final answer
    x = 3,231,391.61

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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.