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Finding the Third Proportional to 666,144 and 1,356,960

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Solution

The third proportional to 666,144 and 1,356,960 is: 2,764,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,144 : 1,356,960 = 1,356,960 : x
  2. Step 2: Convert to fraction form
    666,144/1,356,960 = 1,356,960/x
  3. Step 3: Cross multiply
    666,144x = 1,356,960 × 1,356,960
  4. Step 4: Simplify right side
    666,144x = 1,841,340,441,600
  5. Step 5: Solve for x
    x = 1,841,340,441,600/666,144
  6. Step 6: Final answer
    x = 2,764,177.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.