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Finding the Third Proportional to 807,771 and 1,642,027

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Solution

The third proportional to 807,771 and 1,642,027 is: 3,337,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,771 : 1,642,027 = 1,642,027 : x
  2. Step 2: Convert to fraction form
    807,771/1,642,027 = 1,642,027/x
  3. Step 3: Cross multiply
    807,771x = 1,642,027 × 1,642,027
  4. Step 4: Simplify right side
    807,771x = 2,696,252,668,729
  5. Step 5: Solve for x
    x = 2,696,252,668,729/807,771
  6. Step 6: Final answer
    x = 3,337,892.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.