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Finding the Third Proportional to 724,198 and 1,095,616

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Solution

The third proportional to 724,198 and 1,095,616 is: 1,657,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,198 : 1,095,616 = 1,095,616 : x
  2. Step 2: Convert to fraction form
    724,198/1,095,616 = 1,095,616/x
  3. Step 3: Cross multiply
    724,198x = 1,095,616 × 1,095,616
  4. Step 4: Simplify right side
    724,198x = 1,200,374,419,456
  5. Step 5: Solve for x
    x = 1,200,374,419,456/724,198
  6. Step 6: Final answer
    x = 1,657,522.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.