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Finding the Third Proportional to 522,399 and 1,131,745

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Solution

The third proportional to 522,399 and 1,131,745 is: 2,451,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,399 : 1,131,745 = 1,131,745 : x
  2. Step 2: Convert to fraction form
    522,399/1,131,745 = 1,131,745/x
  3. Step 3: Cross multiply
    522,399x = 1,131,745 × 1,131,745
  4. Step 4: Simplify right side
    522,399x = 1,280,846,745,025
  5. Step 5: Solve for x
    x = 1,280,846,745,025/522,399
  6. Step 6: Final answer
    x = 2,451,855.28

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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.