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Finding the Third Proportional to 2,002,338 and 4,146,615

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Solution

The third proportional to 2,002,338 and 4,146,615 is: 8,587,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,338 : 4,146,615 = 4,146,615 : x
  2. Step 2: Convert to fraction form
    2,002,338/4,146,615 = 4,146,615/x
  3. Step 3: Cross multiply
    2,002,338x = 4,146,615 × 4,146,615
  4. Step 4: Simplify right side
    2,002,338x = 17,194,415,958,225
  5. Step 5: Solve for x
    x = 17,194,415,958,225/2,002,338
  6. Step 6: Final answer
    x = 8,587,169.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.