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Finding the Third Proportional to 1,965,108 and 4,245,759

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Solution

The third proportional to 1,965,108 and 4,245,759 is: 9,173,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,108 : 4,245,759 = 4,245,759 : x
  2. Step 2: Convert to fraction form
    1,965,108/4,245,759 = 4,245,759/x
  3. Step 3: Cross multiply
    1,965,108x = 4,245,759 × 4,245,759
  4. Step 4: Simplify right side
    1,965,108x = 18,026,469,486,081
  5. Step 5: Solve for x
    x = 18,026,469,486,081/1,965,108
  6. Step 6: Final answer
    x = 9,173,271.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.