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Finding the Third Proportional to 764,548.88 and 1,785,619.69

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Solution

The third proportional to 764,548.88 and 1,785,619.69 is: 4,170,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,548.88 : 1,785,619.69 = 1,785,619.69 : x
  2. Step 2: Convert to fraction form
    764,548.88/1,785,619.69 = 1,785,619.69/x
  3. Step 3: Cross multiply
    764,548.88x = 1,785,619.69 × 1,785,619.69
  4. Step 4: Simplify right side
    764,548.88x = 3,188,437,668,387.60
  5. Step 5: Solve for x
    x = 3,188,437,668,387.60/764,548.88
  6. Step 6: Final answer
    x = 4,170,351.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.