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Finding the Third Proportional to 519,822 and 827,049

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Solution

The third proportional to 519,822 and 827,049 is: 1,315,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,822 : 827,049 = 827,049 : x
  2. Step 2: Convert to fraction form
    519,822/827,049 = 827,049/x
  3. Step 3: Cross multiply
    519,822x = 827,049 × 827,049
  4. Step 4: Simplify right side
    519,822x = 684,010,048,401
  5. Step 5: Solve for x
    x = 684,010,048,401/519,822
  6. Step 6: Final answer
    x = 1,315,854.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.