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Finding the Third Proportional to 1,286,201 and 2,768,989

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Solution

The third proportional to 1,286,201 and 2,768,989 is: 5,961,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,201 : 2,768,989 = 2,768,989 : x
  2. Step 2: Convert to fraction form
    1,286,201/2,768,989 = 2,768,989/x
  3. Step 3: Cross multiply
    1,286,201x = 2,768,989 × 2,768,989
  4. Step 4: Simplify right side
    1,286,201x = 7,667,300,082,121
  5. Step 5: Solve for x
    x = 7,667,300,082,121/1,286,201
  6. Step 6: Final answer
    x = 5,961,198.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.