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Finding the Third Proportional to 2,529,384 and 3,857,344

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Solution

The third proportional to 2,529,384 and 3,857,344 is: 5,882,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,384 : 3,857,344 = 3,857,344 : x
  2. Step 2: Convert to fraction form
    2,529,384/3,857,344 = 3,857,344/x
  3. Step 3: Cross multiply
    2,529,384x = 3,857,344 × 3,857,344
  4. Step 4: Simplify right side
    2,529,384x = 14,879,102,734,336
  5. Step 5: Solve for x
    x = 14,879,102,734,336/2,529,384
  6. Step 6: Final answer
    x = 5,882,500.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.