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Finding the Third Proportional to 2,414,176 and 5,243,744

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Solution

The third proportional to 2,414,176 and 5,243,744 is: 11,389,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,176 : 5,243,744 = 5,243,744 : x
  2. Step 2: Convert to fraction form
    2,414,176/5,243,744 = 5,243,744/x
  3. Step 3: Cross multiply
    2,414,176x = 5,243,744 × 5,243,744
  4. Step 4: Simplify right side
    2,414,176x = 27,496,851,137,536
  5. Step 5: Solve for x
    x = 27,496,851,137,536/2,414,176
  6. Step 6: Final answer
    x = 11,389,745.88

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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.