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Finding the Third Proportional to 1,696,968 and 3,659,616

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Solution

The third proportional to 1,696,968 and 3,659,616 is: 7,892,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,968 : 3,659,616 = 3,659,616 : x
  2. Step 2: Convert to fraction form
    1,696,968/3,659,616 = 3,659,616/x
  3. Step 3: Cross multiply
    1,696,968x = 3,659,616 × 3,659,616
  4. Step 4: Simplify right side
    1,696,968x = 13,392,789,267,456
  5. Step 5: Solve for x
    x = 13,392,789,267,456/1,696,968
  6. Step 6: Final answer
    x = 7,892,187.28

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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.