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Finding the Third Proportional to 561,424 and 1,247,264

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Solution

The third proportional to 561,424 and 1,247,264 is: 2,770,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,424 : 1,247,264 = 1,247,264 : x
  2. Step 2: Convert to fraction form
    561,424/1,247,264 = 1,247,264/x
  3. Step 3: Cross multiply
    561,424x = 1,247,264 × 1,247,264
  4. Step 4: Simplify right side
    561,424x = 1,555,667,485,696
  5. Step 5: Solve for x
    x = 1,555,667,485,696/561,424
  6. Step 6: Final answer
    x = 2,770,931.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.