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Finding the Third Proportional to 764,268 and 1,619,568

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Solution

The third proportional to 764,268 and 1,619,568 is: 3,432,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,268 : 1,619,568 = 1,619,568 : x
  2. Step 2: Convert to fraction form
    764,268/1,619,568 = 1,619,568/x
  3. Step 3: Cross multiply
    764,268x = 1,619,568 × 1,619,568
  4. Step 4: Simplify right side
    764,268x = 2,623,000,506,624
  5. Step 5: Solve for x
    x = 2,623,000,506,624/764,268
  6. Step 6: Final answer
    x = 3,432,042.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.