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Finding the Third Proportional to 827,091 and 1,801,330

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Solution

The third proportional to 827,091 and 1,801,330 is: 3,923,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,091 : 1,801,330 = 1,801,330 : x
  2. Step 2: Convert to fraction form
    827,091/1,801,330 = 1,801,330/x
  3. Step 3: Cross multiply
    827,091x = 1,801,330 × 1,801,330
  4. Step 4: Simplify right side
    827,091x = 3,244,789,768,900
  5. Step 5: Solve for x
    x = 3,244,789,768,900/827,091
  6. Step 6: Final answer
    x = 3,923,135.14

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Why These Related Problems?

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