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Finding the Third Proportional to 764,721 and 1,680,426

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Solution

The third proportional to 764,721 and 1,680,426 is: 3,692,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,721 : 1,680,426 = 1,680,426 : x
  2. Step 2: Convert to fraction form
    764,721/1,680,426 = 1,680,426/x
  3. Step 3: Cross multiply
    764,721x = 1,680,426 × 1,680,426
  4. Step 4: Simplify right side
    764,721x = 2,823,831,541,476
  5. Step 5: Solve for x
    x = 2,823,831,541,476/764,721
  6. Step 6: Final answer
    x = 3,692,629.78

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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.