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Finding the Third Proportional to 2,002,924 and 3,054,834

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Solution

The third proportional to 2,002,924 and 3,054,834 is: 4,659,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,924 : 3,054,834 = 3,054,834 : x
  2. Step 2: Convert to fraction form
    2,002,924/3,054,834 = 3,054,834/x
  3. Step 3: Cross multiply
    2,002,924x = 3,054,834 × 3,054,834
  4. Step 4: Simplify right side
    2,002,924x = 9,332,010,767,556
  5. Step 5: Solve for x
    x = 9,332,010,767,556/2,002,924
  6. Step 6: Final answer
    x = 4,659,193.64

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