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Finding the Third Proportional to 758,696 and 1,635,016

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Solution

The third proportional to 758,696 and 1,635,016 is: 3,523,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,696 : 1,635,016 = 1,635,016 : x
  2. Step 2: Convert to fraction form
    758,696/1,635,016 = 1,635,016/x
  3. Step 3: Cross multiply
    758,696x = 1,635,016 × 1,635,016
  4. Step 4: Simplify right side
    758,696x = 2,673,277,320,256
  5. Step 5: Solve for x
    x = 2,673,277,320,256/758,696
  6. Step 6: Final answer
    x = 3,523,515.77

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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.