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Finding the Third Proportional to 1,628,067.94 and 2,393,323.03

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Solution

The third proportional to 1,628,067.94 and 2,393,323.03 is: 3,518,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,067.94 : 2,393,323.03 = 2,393,323.03 : x
  2. Step 2: Convert to fraction form
    1,628,067.94/2,393,323.03 = 2,393,323.03/x
  3. Step 3: Cross multiply
    1,628,067.94x = 2,393,323.03 × 2,393,323.03
  4. Step 4: Simplify right side
    1,628,067.94x = 5,727,995,131,911.69
  5. Step 5: Solve for x
    x = 5,727,995,131,911.69/1,628,067.94
  6. Step 6: Final answer
    x = 3,518,277.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.