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Finding the Third Proportional to 566,249 and 1,198,085

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Solution

The third proportional to 566,249 and 1,198,085 is: 2,534,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,249 : 1,198,085 = 1,198,085 : x
  2. Step 2: Convert to fraction form
    566,249/1,198,085 = 1,198,085/x
  3. Step 3: Cross multiply
    566,249x = 1,198,085 × 1,198,085
  4. Step 4: Simplify right side
    566,249x = 1,435,407,667,225
  5. Step 5: Solve for x
    x = 1,435,407,667,225/566,249
  6. Step 6: Final answer
    x = 2,534,940.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.