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Finding the Third Proportional to 764,896 and 1,680,775

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Solution

The third proportional to 764,896 and 1,680,775 is: 3,693,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,896 : 1,680,775 = 1,680,775 : x
  2. Step 2: Convert to fraction form
    764,896/1,680,775 = 1,680,775/x
  3. Step 3: Cross multiply
    764,896x = 1,680,775 × 1,680,775
  4. Step 4: Simplify right side
    764,896x = 2,825,004,600,625
  5. Step 5: Solve for x
    x = 2,825,004,600,625/764,896
  6. Step 6: Final answer
    x = 3,693,318.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.