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Finding the Third Proportional to 639,860 and 1,481,314

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Solution

The third proportional to 639,860 and 1,481,314 is: 3,429,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,860 : 1,481,314 = 1,481,314 : x
  2. Step 2: Convert to fraction form
    639,860/1,481,314 = 1,481,314/x
  3. Step 3: Cross multiply
    639,860x = 1,481,314 × 1,481,314
  4. Step 4: Simplify right side
    639,860x = 2,194,291,166,596
  5. Step 5: Solve for x
    x = 2,194,291,166,596/639,860
  6. Step 6: Final answer
    x = 3,429,330.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.