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Finding the Third Proportional to 599,082 and 1,297,848

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Solution

The third proportional to 599,082 and 1,297,848 is: 2,811,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,082 : 1,297,848 = 1,297,848 : x
  2. Step 2: Convert to fraction form
    599,082/1,297,848 = 1,297,848/x
  3. Step 3: Cross multiply
    599,082x = 1,297,848 × 1,297,848
  4. Step 4: Simplify right side
    599,082x = 1,684,409,431,104
  5. Step 5: Solve for x
    x = 1,684,409,431,104/599,082
  6. Step 6: Final answer
    x = 2,811,650.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.