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Finding the Third Proportional to 536,744 and 1,168,161

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Solution

The third proportional to 536,744 and 1,168,161 is: 2,542,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,744 : 1,168,161 = 1,168,161 : x
  2. Step 2: Convert to fraction form
    536,744/1,168,161 = 1,168,161/x
  3. Step 3: Cross multiply
    536,744x = 1,168,161 × 1,168,161
  4. Step 4: Simplify right side
    536,744x = 1,364,600,121,921
  5. Step 5: Solve for x
    x = 1,364,600,121,921/536,744
  6. Step 6: Final answer
    x = 2,542,366.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.