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Finding the Third Proportional to 844,224 and 1,264,869

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Solution

The third proportional to 844,224 and 1,264,869 is: 1,895,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,224 : 1,264,869 = 1,264,869 : x
  2. Step 2: Convert to fraction form
    844,224/1,264,869 = 1,264,869/x
  3. Step 3: Cross multiply
    844,224x = 1,264,869 × 1,264,869
  4. Step 4: Simplify right side
    844,224x = 1,599,893,587,161
  5. Step 5: Solve for x
    x = 1,599,893,587,161/844,224
  6. Step 6: Final answer
    x = 1,895,105.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.