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Finding the Third Proportional to 2,338,286 and 5,024,670

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Solution

The third proportional to 2,338,286 and 5,024,670 is: 10,797,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,286 : 5,024,670 = 5,024,670 : x
  2. Step 2: Convert to fraction form
    2,338,286/5,024,670 = 5,024,670/x
  3. Step 3: Cross multiply
    2,338,286x = 5,024,670 × 5,024,670
  4. Step 4: Simplify right side
    2,338,286x = 25,247,308,608,900
  5. Step 5: Solve for x
    x = 25,247,308,608,900/2,338,286
  6. Step 6: Final answer
    x = 10,797,356.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.