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Finding the Third Proportional to 2,687,728 and 5,847,846

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Solution

The third proportional to 2,687,728 and 5,847,846 is: 12,723,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,728 : 5,847,846 = 5,847,846 : x
  2. Step 2: Convert to fraction form
    2,687,728/5,847,846 = 5,847,846/x
  3. Step 3: Cross multiply
    2,687,728x = 5,847,846 × 5,847,846
  4. Step 4: Simplify right side
    2,687,728x = 34,197,302,839,716
  5. Step 5: Solve for x
    x = 34,197,302,839,716/2,687,728
  6. Step 6: Final answer
    x = 12,723,498.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.