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Finding the Third Proportional to 2,120,884 and 3,212,214

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Solution

The third proportional to 2,120,884 and 3,212,214 is: 4,865,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120,884 : 3,212,214 = 3,212,214 : x
  2. Step 2: Convert to fraction form
    2,120,884/3,212,214 = 3,212,214/x
  3. Step 3: Cross multiply
    2,120,884x = 3,212,214 × 3,212,214
  4. Step 4: Simplify right side
    2,120,884x = 10,318,318,781,796
  5. Step 5: Solve for x
    x = 10,318,318,781,796/2,120,884
  6. Step 6: Final answer
    x = 4,865,102.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.