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Finding the Third Proportional to 764,916 and 1,680,828

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Solution

The third proportional to 764,916 and 1,680,828 is: 3,693,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,916 : 1,680,828 = 1,680,828 : x
  2. Step 2: Convert to fraction form
    764,916/1,680,828 = 1,680,828/x
  3. Step 3: Cross multiply
    764,916x = 1,680,828 × 1,680,828
  4. Step 4: Simplify right side
    764,916x = 2,825,182,765,584
  5. Step 5: Solve for x
    x = 2,825,182,765,584/764,916
  6. Step 6: Final answer
    x = 3,693,454.92

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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.