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Finding the Third Proportional to 814,408.50 and 1,229,958

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Solution

The third proportional to 814,408.50 and 1,229,958 is: 1,857,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,408.50 : 1,229,958 = 1,229,958 : x
  2. Step 2: Convert to fraction form
    814,408.50/1,229,958 = 1,229,958/x
  3. Step 3: Cross multiply
    814,408.50x = 1,229,958 × 1,229,958
  4. Step 4: Simplify right side
    814,408.50x = 1,512,796,681,764
  5. Step 5: Solve for x
    x = 1,512,796,681,764/814,408.50
  6. Step 6: Final answer
    x = 1,857,540.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.