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Finding the Third Proportional to 639,612 and 1,408,008

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Solution

The third proportional to 639,612 and 1,408,008 is: 3,099,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,612 : 1,408,008 = 1,408,008 : x
  2. Step 2: Convert to fraction form
    639,612/1,408,008 = 1,408,008/x
  3. Step 3: Cross multiply
    639,612x = 1,408,008 × 1,408,008
  4. Step 4: Simplify right side
    639,612x = 1,982,486,528,064
  5. Step 5: Solve for x
    x = 1,982,486,528,064/639,612
  6. Step 6: Final answer
    x = 3,099,514.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.