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Finding the Third Proportional to 823,879.13 and 1,247,437.13

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Solution

The third proportional to 823,879.13 and 1,247,437.13 is: 1,888,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,879.13 : 1,247,437.13 = 1,247,437.13 : x
  2. Step 2: Convert to fraction form
    823,879.13/1,247,437.13 = 1,247,437.13/x
  3. Step 3: Cross multiply
    823,879.13x = 1,247,437.13 × 1,247,437.13
  4. Step 4: Simplify right side
    823,879.13x = 1,556,099,380,828.27
  5. Step 5: Solve for x
    x = 1,556,099,380,828.27/823,879.13
  6. Step 6: Final answer
    x = 1,888,747.19

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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.