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Finding the Third Proportional to 596,040.75 and 1,291,194

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Solution

The third proportional to 596,040.75 and 1,291,194 is: 2,797,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,040.75 : 1,291,194 = 1,291,194 : x
  2. Step 2: Convert to fraction form
    596,040.75/1,291,194 = 1,291,194/x
  3. Step 3: Cross multiply
    596,040.75x = 1,291,194 × 1,291,194
  4. Step 4: Simplify right side
    596,040.75x = 1,667,181,945,636
  5. Step 5: Solve for x
    x = 1,667,181,945,636/596,040.75
  6. Step 6: Final answer
    x = 2,797,093.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.