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Finding the Third Proportional to 650,649 and 1,380,027

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Solution

The third proportional to 650,649 and 1,380,027 is: 2,927,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,649 : 1,380,027 = 1,380,027 : x
  2. Step 2: Convert to fraction form
    650,649/1,380,027 = 1,380,027/x
  3. Step 3: Cross multiply
    650,649x = 1,380,027 × 1,380,027
  4. Step 4: Simplify right side
    650,649x = 1,904,474,520,729
  5. Step 5: Solve for x
    x = 1,904,474,520,729/650,649
  6. Step 6: Final answer
    x = 2,927,038.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.