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Finding the Third Proportional to 764,208 and 1,661,092

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Solution

The third proportional to 764,208 and 1,661,092 is: 3,610,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,208 : 1,661,092 = 1,661,092 : x
  2. Step 2: Convert to fraction form
    764,208/1,661,092 = 1,661,092/x
  3. Step 3: Cross multiply
    764,208x = 1,661,092 × 1,661,092
  4. Step 4: Simplify right side
    764,208x = 2,759,226,632,464
  5. Step 5: Solve for x
    x = 2,759,226,632,464/764,208
  6. Step 6: Final answer
    x = 3,610,570.20

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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.