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Finding the Third Proportional to 1,993,940 and 4,324,408

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Solution

The third proportional to 1,993,940 and 4,324,408 is: 9,378,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,940 : 4,324,408 = 4,324,408 : x
  2. Step 2: Convert to fraction form
    1,993,940/4,324,408 = 4,324,408/x
  3. Step 3: Cross multiply
    1,993,940x = 4,324,408 × 4,324,408
  4. Step 4: Simplify right side
    1,993,940x = 18,700,504,550,464
  5. Step 5: Solve for x
    x = 18,700,504,550,464/1,993,940
  6. Step 6: Final answer
    x = 9,378,669.64

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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.