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Finding the Third Proportional to 2,474,856 and 5,242,592

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Solution

The third proportional to 2,474,856 and 5,242,592 is: 11,105,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,856 : 5,242,592 = 5,242,592 : x
  2. Step 2: Convert to fraction form
    2,474,856/5,242,592 = 5,242,592/x
  3. Step 3: Cross multiply
    2,474,856x = 5,242,592 × 5,242,592
  4. Step 4: Simplify right side
    2,474,856x = 27,484,770,878,464
  5. Step 5: Solve for x
    x = 27,484,770,878,464/2,474,856
  6. Step 6: Final answer
    x = 11,105,604.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.