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Finding the Third Proportional to 865,224 and 1,850,016

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Solution

The third proportional to 865,224 and 1,850,016 is: 3,955,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,224 : 1,850,016 = 1,850,016 : x
  2. Step 2: Convert to fraction form
    865,224/1,850,016 = 1,850,016/x
  3. Step 3: Cross multiply
    865,224x = 1,850,016 × 1,850,016
  4. Step 4: Simplify right side
    865,224x = 3,422,559,200,256
  5. Step 5: Solve for x
    x = 3,422,559,200,256/865,224
  6. Step 6: Final answer
    x = 3,955,691.47

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