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Finding the Third Proportional to 541,800 and 1,183,536

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Solution

The third proportional to 541,800 and 1,183,536 is: 2,585,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,800 : 1,183,536 = 1,183,536 : x
  2. Step 2: Convert to fraction form
    541,800/1,183,536 = 1,183,536/x
  3. Step 3: Cross multiply
    541,800x = 1,183,536 × 1,183,536
  4. Step 4: Simplify right side
    541,800x = 1,400,757,463,296
  5. Step 5: Solve for x
    x = 1,400,757,463,296/541,800
  6. Step 6: Final answer
    x = 2,585,377.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.