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Finding the Third Proportional to 1,207,632 and 2,467,698

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Solution

The third proportional to 1,207,632 and 2,467,698 is: 5,042,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,632 : 2,467,698 = 2,467,698 : x
  2. Step 2: Convert to fraction form
    1,207,632/2,467,698 = 2,467,698/x
  3. Step 3: Cross multiply
    1,207,632x = 2,467,698 × 2,467,698
  4. Step 4: Simplify right side
    1,207,632x = 6,089,533,419,204
  5. Step 5: Solve for x
    x = 6,089,533,419,204/1,207,632
  6. Step 6: Final answer
    x = 5,042,540.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.