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Finding the Third Proportional to 2,263,845 and 3,424,932

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Solution

The third proportional to 2,263,845 and 3,424,932 is: 5,181,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263,845 : 3,424,932 = 3,424,932 : x
  2. Step 2: Convert to fraction form
    2,263,845/3,424,932 = 3,424,932/x
  3. Step 3: Cross multiply
    2,263,845x = 3,424,932 × 3,424,932
  4. Step 4: Simplify right side
    2,263,845x = 11,730,159,204,624
  5. Step 5: Solve for x
    x = 11,730,159,204,624/2,263,845
  6. Step 6: Final answer
    x = 5,181,520.47

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Why These Related Problems?

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