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Finding the Third Proportional to 2,120,912 and 3,212,256

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Solution

The third proportional to 2,120,912 and 3,212,256 is: 4,865,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120,912 : 3,212,256 = 3,212,256 : x
  2. Step 2: Convert to fraction form
    2,120,912/3,212,256 = 3,212,256/x
  3. Step 3: Cross multiply
    2,120,912x = 3,212,256 × 3,212,256
  4. Step 4: Simplify right side
    2,120,912x = 10,318,588,609,536
  5. Step 5: Solve for x
    x = 10,318,588,609,536/2,120,912
  6. Step 6: Final answer
    x = 4,865,165.84

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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.