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Finding the Third Proportional to 774,224 and 1,667,098

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Solution

The third proportional to 774,224 and 1,667,098 is: 3,589,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,224 : 1,667,098 = 1,667,098 : x
  2. Step 2: Convert to fraction form
    774,224/1,667,098 = 1,667,098/x
  3. Step 3: Cross multiply
    774,224x = 1,667,098 × 1,667,098
  4. Step 4: Simplify right side
    774,224x = 2,779,215,741,604
  5. Step 5: Solve for x
    x = 2,779,215,741,604/774,224
  6. Step 6: Final answer
    x = 3,589,679.14

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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.