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Finding the Third Proportional to 764,138 and 1,641,028

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Solution

The third proportional to 764,138 and 1,641,028 is: 3,524,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,138 : 1,641,028 = 1,641,028 : x
  2. Step 2: Convert to fraction form
    764,138/1,641,028 = 1,641,028/x
  3. Step 3: Cross multiply
    764,138x = 1,641,028 × 1,641,028
  4. Step 4: Simplify right side
    764,138x = 2,692,972,896,784
  5. Step 5: Solve for x
    x = 2,692,972,896,784/764,138
  6. Step 6: Final answer
    x = 3,524,197.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.