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Finding the Third Proportional to 1,223,265 and 2,558,067

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Solution

The third proportional to 1,223,265 and 2,558,067 is: 5,349,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,265 : 2,558,067 = 2,558,067 : x
  2. Step 2: Convert to fraction form
    1,223,265/2,558,067 = 2,558,067/x
  3. Step 3: Cross multiply
    1,223,265x = 2,558,067 × 2,558,067
  4. Step 4: Simplify right side
    1,223,265x = 6,543,706,776,489
  5. Step 5: Solve for x
    x = 6,543,706,776,489/1,223,265
  6. Step 6: Final answer
    x = 5,349,377.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.