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Finding the Third Proportional to 2,001,872 and 4,723,679

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Solution

The third proportional to 2,001,872 and 4,723,679 is: 11,146,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,872 : 4,723,679 = 4,723,679 : x
  2. Step 2: Convert to fraction form
    2,001,872/4,723,679 = 4,723,679/x
  3. Step 3: Cross multiply
    2,001,872x = 4,723,679 × 4,723,679
  4. Step 4: Simplify right side
    2,001,872x = 22,313,143,295,041
  5. Step 5: Solve for x
    x = 22,313,143,295,041/2,001,872
  6. Step 6: Final answer
    x = 11,146,138.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.