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Finding the Third Proportional to 415,016 and 885,328

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Solution

The third proportional to 415,016 and 885,328 is: 1,888,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,016 : 885,328 = 885,328 : x
  2. Step 2: Convert to fraction form
    415,016/885,328 = 885,328/x
  3. Step 3: Cross multiply
    415,016x = 885,328 × 885,328
  4. Step 4: Simplify right side
    415,016x = 783,805,667,584
  5. Step 5: Solve for x
    x = 783,805,667,584/415,016
  6. Step 6: Final answer
    x = 1,888,615.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.