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Finding the Third Proportional to 2,120,914 and 3,212,259

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Solution

The third proportional to 2,120,914 and 3,212,259 is: 4,865,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120,914 : 3,212,259 = 3,212,259 : x
  2. Step 2: Convert to fraction form
    2,120,914/3,212,259 = 3,212,259/x
  3. Step 3: Cross multiply
    2,120,914x = 3,212,259 × 3,212,259
  4. Step 4: Simplify right side
    2,120,914x = 10,318,607,883,081
  5. Step 5: Solve for x
    x = 10,318,607,883,081/2,120,914
  6. Step 6: Final answer
    x = 4,865,170.34

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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.