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Finding the Third Proportional to 1,194,103 and 2,498,923

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Solution

The third proportional to 1,194,103 and 2,498,923 is: 5,229,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,103 : 2,498,923 = 2,498,923 : x
  2. Step 2: Convert to fraction form
    1,194,103/2,498,923 = 2,498,923/x
  3. Step 3: Cross multiply
    1,194,103x = 2,498,923 × 2,498,923
  4. Step 4: Simplify right side
    1,194,103x = 6,244,616,159,929
  5. Step 5: Solve for x
    x = 6,244,616,159,929/1,194,103
  6. Step 6: Final answer
    x = 5,229,545.66

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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.