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Finding the Third Proportional to 1,993,944 and 4,324,416

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Solution

The third proportional to 1,993,944 and 4,324,416 is: 9,378,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,944 : 4,324,416 = 4,324,416 : x
  2. Step 2: Convert to fraction form
    1,993,944/4,324,416 = 4,324,416/x
  3. Step 3: Cross multiply
    1,993,944x = 4,324,416 × 4,324,416
  4. Step 4: Simplify right side
    1,993,944x = 18,700,573,741,056
  5. Step 5: Solve for x
    x = 18,700,573,741,056/1,993,944
  6. Step 6: Final answer
    x = 9,378,685.53

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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.