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Finding the Third Proportional to 2,023,882 and 4,384,068

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Solution

The third proportional to 2,023,882 and 4,384,068 is: 9,496,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,882 : 4,384,068 = 4,384,068 : x
  2. Step 2: Convert to fraction form
    2,023,882/4,384,068 = 4,384,068/x
  3. Step 3: Cross multiply
    2,023,882x = 4,384,068 × 4,384,068
  4. Step 4: Simplify right side
    2,023,882x = 19,220,052,228,624
  5. Step 5: Solve for x
    x = 19,220,052,228,624/2,023,882
  6. Step 6: Final answer
    x = 9,496,626.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.