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Finding the Third Proportional to 774,216 and 1,667,082

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Solution

The third proportional to 774,216 and 1,667,082 is: 3,589,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,216 : 1,667,082 = 1,667,082 : x
  2. Step 2: Convert to fraction form
    774,216/1,667,082 = 1,667,082/x
  3. Step 3: Cross multiply
    774,216x = 1,667,082 × 1,667,082
  4. Step 4: Simplify right side
    774,216x = 2,779,162,394,724
  5. Step 5: Solve for x
    x = 2,779,162,394,724/774,216
  6. Step 6: Final answer
    x = 3,589,647.33

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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.