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Finding the Third Proportional to 764,221.50 and 1,661,148

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Solution

The third proportional to 764,221.50 and 1,661,148 is: 3,610,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,221.50 : 1,661,148 = 1,661,148 : x
  2. Step 2: Convert to fraction form
    764,221.50/1,661,148 = 1,661,148/x
  3. Step 3: Cross multiply
    764,221.50x = 1,661,148 × 1,661,148
  4. Step 4: Simplify right side
    764,221.50x = 2,759,412,677,904
  5. Step 5: Solve for x
    x = 2,759,412,677,904/764,221.50
  6. Step 6: Final answer
    x = 3,610,749.86

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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.