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Finding the Third Proportional to 764,908 and 1,680,806

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Solution

The third proportional to 764,908 and 1,680,806 is: 3,693,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,908 : 1,680,806 = 1,680,806 : x
  2. Step 2: Convert to fraction form
    764,908/1,680,806 = 1,680,806/x
  3. Step 3: Cross multiply
    764,908x = 1,680,806 × 1,680,806
  4. Step 4: Simplify right side
    764,908x = 2,825,108,809,636
  5. Step 5: Solve for x
    x = 2,825,108,809,636/764,908
  6. Step 6: Final answer
    x = 3,693,396.87

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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.