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Finding the Third Proportional to 453,144 and 926,016

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Solution

The third proportional to 453,144 and 926,016 is: 1,892,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144 : 926,016 = 926,016 : x
  2. Step 2: Convert to fraction form
    453,144/926,016 = 926,016/x
  3. Step 3: Cross multiply
    453,144x = 926,016 × 926,016
  4. Step 4: Simplify right side
    453,144x = 857,505,632,256
  5. Step 5: Solve for x
    x = 857,505,632,256/453,144
  6. Step 6: Final answer
    x = 1,892,346.87

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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.