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Finding the Third Proportional to 827,087 and 1,801,322

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Solution

The third proportional to 827,087 and 1,801,322 is: 3,923,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,087 : 1,801,322 = 1,801,322 : x
  2. Step 2: Convert to fraction form
    827,087/1,801,322 = 1,801,322/x
  3. Step 3: Cross multiply
    827,087x = 1,801,322 × 1,801,322
  4. Step 4: Simplify right side
    827,087x = 3,244,760,947,684
  5. Step 5: Solve for x
    x = 3,244,760,947,684/827,087
  6. Step 6: Final answer
    x = 3,923,119.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.