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Finding the Third Proportional to 1,324,494 and 2,050,407

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Solution

The third proportional to 1,324,494 and 2,050,407 is: 3,174,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,494 : 2,050,407 = 2,050,407 : x
  2. Step 2: Convert to fraction form
    1,324,494/2,050,407 = 2,050,407/x
  3. Step 3: Cross multiply
    1,324,494x = 2,050,407 × 2,050,407
  4. Step 4: Simplify right side
    1,324,494x = 4,204,168,865,649
  5. Step 5: Solve for x
    x = 4,204,168,865,649/1,324,494
  6. Step 6: Final answer
    x = 3,174,169.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.