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Finding the Third Proportional to 2,002,920 and 3,054,828

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Solution

The third proportional to 2,002,920 and 3,054,828 is: 4,659,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,920 : 3,054,828 = 3,054,828 : x
  2. Step 2: Convert to fraction form
    2,002,920/3,054,828 = 3,054,828/x
  3. Step 3: Cross multiply
    2,002,920x = 3,054,828 × 3,054,828
  4. Step 4: Simplify right side
    2,002,920x = 9,331,974,109,584
  5. Step 5: Solve for x
    x = 9,331,974,109,584/2,002,920
  6. Step 6: Final answer
    x = 4,659,184.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.