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Finding the Third Proportional to 2,508,744 and 3,768,768

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Solution

The third proportional to 2,508,744 and 3,768,768 is: 5,661,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508,744 : 3,768,768 = 3,768,768 : x
  2. Step 2: Convert to fraction form
    2,508,744/3,768,768 = 3,768,768/x
  3. Step 3: Cross multiply
    2,508,744x = 3,768,768 × 3,768,768
  4. Step 4: Simplify right side
    2,508,744x = 14,203,612,237,824
  5. Step 5: Solve for x
    x = 14,203,612,237,824/2,508,744
  6. Step 6: Final answer
    x = 5,661,642.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.