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Finding the Third Proportional to 2,821,996 and 6,205,834

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Solution

The third proportional to 2,821,996 and 6,205,834 is: 13,647,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,996 : 6,205,834 = 6,205,834 : x
  2. Step 2: Convert to fraction form
    2,821,996/6,205,834 = 6,205,834/x
  3. Step 3: Cross multiply
    2,821,996x = 6,205,834 × 6,205,834
  4. Step 4: Simplify right side
    2,821,996x = 38,512,375,635,556
  5. Step 5: Solve for x
    x = 38,512,375,635,556/2,821,996
  6. Step 6: Final answer
    x = 13,647,211.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.