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Finding the Third Proportional to 1,769,616 and 2,668,923

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Solution

The third proportional to 1,769,616 and 2,668,923 is: 4,025,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,616 : 2,668,923 = 2,668,923 : x
  2. Step 2: Convert to fraction form
    1,769,616/2,668,923 = 2,668,923/x
  3. Step 3: Cross multiply
    1,769,616x = 2,668,923 × 2,668,923
  4. Step 4: Simplify right side
    1,769,616x = 7,123,149,979,929
  5. Step 5: Solve for x
    x = 7,123,149,979,929/1,769,616
  6. Step 6: Final answer
    x = 4,025,251.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.