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Finding the Third Proportional to 376,590 and 827,814

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Solution

The third proportional to 376,590 and 827,814 is: 1,819,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,590 : 827,814 = 827,814 : x
  2. Step 2: Convert to fraction form
    376,590/827,814 = 827,814/x
  3. Step 3: Cross multiply
    376,590x = 827,814 × 827,814
  4. Step 4: Simplify right side
    376,590x = 685,276,018,596
  5. Step 5: Solve for x
    x = 685,276,018,596/376,590
  6. Step 6: Final answer
    x = 1,819,687.24

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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.