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Finding the Third Proportional to 741,648 and 1,601,556

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Solution

The third proportional to 741,648 and 1,601,556 is: 3,458,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,648 : 1,601,556 = 1,601,556 : x
  2. Step 2: Convert to fraction form
    741,648/1,601,556 = 1,601,556/x
  3. Step 3: Cross multiply
    741,648x = 1,601,556 × 1,601,556
  4. Step 4: Simplify right side
    741,648x = 2,564,981,621,136
  5. Step 5: Solve for x
    x = 2,564,981,621,136/741,648
  6. Step 6: Final answer
    x = 3,458,489.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.