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Finding the Third Proportional to 2,291,034 and 4,524,234

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Solution

The third proportional to 2,291,034 and 4,524,234 is: 8,934,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,034 : 4,524,234 = 4,524,234 : x
  2. Step 2: Convert to fraction form
    2,291,034/4,524,234 = 4,524,234/x
  3. Step 3: Cross multiply
    2,291,034x = 4,524,234 × 4,524,234
  4. Step 4: Simplify right side
    2,291,034x = 20,468,693,286,756
  5. Step 5: Solve for x
    x = 20,468,693,286,756/2,291,034
  6. Step 6: Final answer
    x = 8,934,259.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.