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Finding the Third Proportional to 381,360 and 839,136

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Solution

The third proportional to 381,360 and 839,136 is: 1,846,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,360 : 839,136 = 839,136 : x
  2. Step 2: Convert to fraction form
    381,360/839,136 = 839,136/x
  3. Step 3: Cross multiply
    381,360x = 839,136 × 839,136
  4. Step 4: Simplify right side
    381,360x = 704,149,226,496
  5. Step 5: Solve for x
    x = 704,149,226,496/381,360
  6. Step 6: Final answer
    x = 1,846,416.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.