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Finding the Third Proportional to 1,295,589 and 2,674,161

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Solution

The third proportional to 1,295,589 and 2,674,161 is: 5,519,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,589 : 2,674,161 = 2,674,161 : x
  2. Step 2: Convert to fraction form
    1,295,589/2,674,161 = 2,674,161/x
  3. Step 3: Cross multiply
    1,295,589x = 2,674,161 × 2,674,161
  4. Step 4: Simplify right side
    1,295,589x = 7,151,137,053,921
  5. Step 5: Solve for x
    x = 7,151,137,053,921/1,295,589
  6. Step 6: Final answer
    x = 5,519,603.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.