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Finding the Third Proportional to 2,451,170 and 3,661,923

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Solution

The third proportional to 2,451,170 and 3,661,923 is: 5,470,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,170 : 3,661,923 = 3,661,923 : x
  2. Step 2: Convert to fraction form
    2,451,170/3,661,923 = 3,661,923/x
  3. Step 3: Cross multiply
    2,451,170x = 3,661,923 × 3,661,923
  4. Step 4: Simplify right side
    2,451,170x = 13,409,680,057,929
  5. Step 5: Solve for x
    x = 13,409,680,057,929/2,451,170
  6. Step 6: Final answer
    x = 5,470,726.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.