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Finding the Third Proportional to 376,561 and 827,754

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Solution

The third proportional to 376,561 and 827,754 is: 1,819,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,561 : 827,754 = 827,754 : x
  2. Step 2: Convert to fraction form
    376,561/827,754 = 827,754/x
  3. Step 3: Cross multiply
    376,561x = 827,754 × 827,754
  4. Step 4: Simplify right side
    376,561x = 685,176,684,516
  5. Step 5: Solve for x
    x = 685,176,684,516/376,561
  6. Step 6: Final answer
    x = 1,819,563.59

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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.