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Finding the Third Proportional to 2,134,015 and 3,201,103

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Solution

The third proportional to 2,134,015 and 3,201,103 is: 4,801,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,015 : 3,201,103 = 3,201,103 : x
  2. Step 2: Convert to fraction form
    2,134,015/3,201,103 = 3,201,103/x
  3. Step 3: Cross multiply
    2,134,015x = 3,201,103 × 3,201,103
  4. Step 4: Simplify right side
    2,134,015x = 10,247,060,416,609
  5. Step 5: Solve for x
    x = 10,247,060,416,609/2,134,015
  6. Step 6: Final answer
    x = 4,801,775.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.