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Finding the Third Proportional to 764,128 and 1,641,020

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Solution

The third proportional to 764,128 and 1,641,020 is: 3,524,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,128 : 1,641,020 = 1,641,020 : x
  2. Step 2: Convert to fraction form
    764,128/1,641,020 = 1,641,020/x
  3. Step 3: Cross multiply
    764,128x = 1,641,020 × 1,641,020
  4. Step 4: Simplify right side
    764,128x = 2,692,946,640,400
  5. Step 5: Solve for x
    x = 2,692,946,640,400/764,128
  6. Step 6: Final answer
    x = 3,524,208.82

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