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Finding the Third Proportional to 764,100 and 1,660,871.25

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Solution

The third proportional to 764,100 and 1,660,871.25 is: 3,610,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,100 : 1,660,871.25 = 1,660,871.25 : x
  2. Step 2: Convert to fraction form
    764,100/1,660,871.25 = 1,660,871.25/x
  3. Step 3: Cross multiply
    764,100x = 1,660,871.25 × 1,660,871.25
  4. Step 4: Simplify right side
    764,100x = 2,758,493,309,076.56
  5. Step 5: Solve for x
    x = 2,758,493,309,076.56/764,100
  6. Step 6: Final answer
    x = 3,610,120.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.