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Finding the Third Proportional to 800,904 and 1,423,744

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Solution

The third proportional to 800,904 and 1,423,744 is: 2,530,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,904 : 1,423,744 = 1,423,744 : x
  2. Step 2: Convert to fraction form
    800,904/1,423,744 = 1,423,744/x
  3. Step 3: Cross multiply
    800,904x = 1,423,744 × 1,423,744
  4. Step 4: Simplify right side
    800,904x = 2,027,046,977,536
  5. Step 5: Solve for x
    x = 2,027,046,977,536/800,904
  6. Step 6: Final answer
    x = 2,530,948.75

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.