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Finding the Third Proportional to 855,034 and 1,202,589

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Solution

The third proportional to 855,034 and 1,202,589 is: 1,691,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,034 : 1,202,589 = 1,202,589 : x
  2. Step 2: Convert to fraction form
    855,034/1,202,589 = 1,202,589/x
  3. Step 3: Cross multiply
    855,034x = 1,202,589 × 1,202,589
  4. Step 4: Simplify right side
    855,034x = 1,446,220,302,921
  5. Step 5: Solve for x
    x = 1,446,220,302,921/855,034
  6. Step 6: Final answer
    x = 1,691,418.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.