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Finding the Third Proportional to 827,185 and 1,821,981

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Solution

The third proportional to 827,185 and 1,821,981 is: 4,013,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,185 : 1,821,981 = 1,821,981 : x
  2. Step 2: Convert to fraction form
    827,185/1,821,981 = 1,821,981/x
  3. Step 3: Cross multiply
    827,185x = 1,821,981 × 1,821,981
  4. Step 4: Simplify right side
    827,185x = 3,319,614,764,361
  5. Step 5: Solve for x
    x = 3,319,614,764,361/827,185
  6. Step 6: Final answer
    x = 4,013,146.71

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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.