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Finding the Third Proportional to 640,132 and 1,379,408

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Solution

The third proportional to 640,132 and 1,379,408 is: 2,972,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,132 : 1,379,408 = 1,379,408 : x
  2. Step 2: Convert to fraction form
    640,132/1,379,408 = 1,379,408/x
  3. Step 3: Cross multiply
    640,132x = 1,379,408 × 1,379,408
  4. Step 4: Simplify right side
    640,132x = 1,902,766,430,464
  5. Step 5: Solve for x
    x = 1,902,766,430,464/640,132
  6. Step 6: Final answer
    x = 2,972,459.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.