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Finding the Third Proportional to 815,879.25 and 1,146,909.38

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Solution

The third proportional to 815,879.25 and 1,146,909.38 is: 1,612,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,879.25 : 1,146,909.38 = 1,146,909.38 : x
  2. Step 2: Convert to fraction form
    815,879.25/1,146,909.38 = 1,146,909.38/x
  3. Step 3: Cross multiply
    815,879.25x = 1,146,909.38 × 1,146,909.38
  4. Step 4: Simplify right side
    815,879.25x = 1,315,401,114,462.89
  5. Step 5: Solve for x
    x = 1,315,401,114,462.89/815,879.25
  6. Step 6: Final answer
    x = 1,612,249.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.