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Finding the Third Proportional to 3,212,744 and 6,691,840

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Solution

The third proportional to 3,212,744 and 6,691,840 is: 13,938,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,744 : 6,691,840 = 6,691,840 : x
  2. Step 2: Convert to fraction form
    3,212,744/6,691,840 = 6,691,840/x
  3. Step 3: Cross multiply
    3,212,744x = 6,691,840 × 6,691,840
  4. Step 4: Simplify right side
    3,212,744x = 44,780,722,585,600
  5. Step 5: Solve for x
    x = 44,780,722,585,600/3,212,744
  6. Step 6: Final answer
    x = 13,938,465.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.