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Finding the Third Proportional to 1,728,933 and 2,777,924.25

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Solution

The third proportional to 1,728,933 and 2,777,924.25 is: 4,463,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,933 : 2,777,924.25 = 2,777,924.25 : x
  2. Step 2: Convert to fraction form
    1,728,933/2,777,924.25 = 2,777,924.25/x
  3. Step 3: Cross multiply
    1,728,933x = 2,777,924.25 × 2,777,924.25
  4. Step 4: Simplify right side
    1,728,933x = 7,716,863,138,738.06
  5. Step 5: Solve for x
    x = 7,716,863,138,738.06/1,728,933
  6. Step 6: Final answer
    x = 4,463,367.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.