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Finding the Third Proportional to 680,620 and 1,481,256

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Solution

The third proportional to 680,620 and 1,481,256 is: 3,223,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,620 : 1,481,256 = 1,481,256 : x
  2. Step 2: Convert to fraction form
    680,620/1,481,256 = 1,481,256/x
  3. Step 3: Cross multiply
    680,620x = 1,481,256 × 1,481,256
  4. Step 4: Simplify right side
    680,620x = 2,194,119,337,536
  5. Step 5: Solve for x
    x = 2,194,119,337,536/680,620
  6. Step 6: Final answer
    x = 3,223,706.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.