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Finding the Third Proportional to 2,109,784 and 3,268,923

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Solution

The third proportional to 2,109,784 and 3,268,923 is: 5,064,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,784 : 3,268,923 = 3,268,923 : x
  2. Step 2: Convert to fraction form
    2,109,784/3,268,923 = 3,268,923/x
  3. Step 3: Cross multiply
    2,109,784x = 3,268,923 × 3,268,923
  4. Step 4: Simplify right side
    2,109,784x = 10,685,857,579,929
  5. Step 5: Solve for x
    x = 10,685,857,579,929/2,109,784
  6. Step 6: Final answer
    x = 5,064,905.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.