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Finding the Third Proportional to 3,245,424 and 5,025,006

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Solution

The third proportional to 3,245,424 and 5,025,006 is: 7,780,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245,424 : 5,025,006 = 5,025,006 : x
  2. Step 2: Convert to fraction form
    3,245,424/5,025,006 = 5,025,006/x
  3. Step 3: Cross multiply
    3,245,424x = 5,025,006 × 5,025,006
  4. Step 4: Simplify right side
    3,245,424x = 25,250,685,300,036
  5. Step 5: Solve for x
    x = 25,250,685,300,036/3,245,424
  6. Step 6: Final answer
    x = 7,780,396.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.