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Finding the Third Proportional to 508,016 and 1,086,016

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Solution

The third proportional to 508,016 and 1,086,016 is: 2,321,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,016 : 1,086,016 = 1,086,016 : x
  2. Step 2: Convert to fraction form
    508,016/1,086,016 = 1,086,016/x
  3. Step 3: Cross multiply
    508,016x = 1,086,016 × 1,086,016
  4. Step 4: Simplify right side
    508,016x = 1,179,430,752,256
  5. Step 5: Solve for x
    x = 1,179,430,752,256/508,016
  6. Step 6: Final answer
    x = 2,321,640.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.