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Finding the Third Proportional to 2,697,634 and 5,777,912

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Solution

The third proportional to 2,697,634 and 5,777,912 is: 12,375,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,634 : 5,777,912 = 5,777,912 : x
  2. Step 2: Convert to fraction form
    2,697,634/5,777,912 = 5,777,912/x
  3. Step 3: Cross multiply
    2,697,634x = 5,777,912 × 5,777,912
  4. Step 4: Simplify right side
    2,697,634x = 33,384,267,079,744
  5. Step 5: Solve for x
    x = 33,384,267,079,744/2,697,634
  6. Step 6: Final answer
    x = 12,375,387.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.