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Finding the Third Proportional to 427,610 and 923,016

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Solution

The third proportional to 427,610 and 923,016 is: 1,992,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,610 : 923,016 = 923,016 : x
  2. Step 2: Convert to fraction form
    427,610/923,016 = 923,016/x
  3. Step 3: Cross multiply
    427,610x = 923,016 × 923,016
  4. Step 4: Simplify right side
    427,610x = 851,958,536,256
  5. Step 5: Solve for x
    x = 851,958,536,256/427,610
  6. Step 6: Final answer
    x = 1,992,372.81

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Why These Related Problems?

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