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Finding the Third Proportional to 758,736 and 1,635,696

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Solution

The third proportional to 758,736 and 1,635,696 is: 3,526,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,736 : 1,635,696 = 1,635,696 : x
  2. Step 2: Convert to fraction form
    758,736/1,635,696 = 1,635,696/x
  3. Step 3: Cross multiply
    758,736x = 1,635,696 × 1,635,696
  4. Step 4: Simplify right side
    758,736x = 2,675,501,404,416
  5. Step 5: Solve for x
    x = 2,675,501,404,416/758,736
  6. Step 6: Final answer
    x = 3,526,261.31

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