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Finding the Third Proportional to 2,120,900 and 3,212,238

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Solution

The third proportional to 2,120,900 and 3,212,238 is: 4,865,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120,900 : 3,212,238 = 3,212,238 : x
  2. Step 2: Convert to fraction form
    2,120,900/3,212,238 = 3,212,238/x
  3. Step 3: Cross multiply
    2,120,900x = 3,212,238 × 3,212,238
  4. Step 4: Simplify right side
    2,120,900x = 10,318,472,968,644
  5. Step 5: Solve for x
    x = 10,318,472,968,644/2,120,900
  6. Step 6: Final answer
    x = 4,865,138.84

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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.