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Finding the Third Proportional to 639,828 and 1,481,229

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Solution

The third proportional to 639,828 and 1,481,229 is: 3,429,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,828 : 1,481,229 = 1,481,229 : x
  2. Step 2: Convert to fraction form
    639,828/1,481,229 = 1,481,229/x
  3. Step 3: Cross multiply
    639,828x = 1,481,229 × 1,481,229
  4. Step 4: Simplify right side
    639,828x = 2,194,039,350,441
  5. Step 5: Solve for x
    x = 2,194,039,350,441/639,828
  6. Step 6: Final answer
    x = 3,429,108.06

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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.