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Finding the Third Proportional to 2,309,626 and 3,628,168

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Solution

The third proportional to 2,309,626 and 3,628,168 is: 5,699,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,626 : 3,628,168 = 3,628,168 : x
  2. Step 2: Convert to fraction form
    2,309,626/3,628,168 = 3,628,168/x
  3. Step 3: Cross multiply
    2,309,626x = 3,628,168 × 3,628,168
  4. Step 4: Simplify right side
    2,309,626x = 13,163,603,036,224
  5. Step 5: Solve for x
    x = 13,163,603,036,224/2,309,626
  6. Step 6: Final answer
    x = 5,699,452.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.