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Finding the Third Proportional to 764,910 and 1,680,810

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Solution

The third proportional to 764,910 and 1,680,810 is: 3,693,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,910 : 1,680,810 = 1,680,810 : x
  2. Step 2: Convert to fraction form
    764,910/1,680,810 = 1,680,810/x
  3. Step 3: Cross multiply
    764,910x = 1,680,810 × 1,680,810
  4. Step 4: Simplify right side
    764,910x = 2,825,122,256,100
  5. Step 5: Solve for x
    x = 2,825,122,256,100/764,910
  6. Step 6: Final answer
    x = 3,693,404.79

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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.