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Finding the Third Proportional to 1,696,716 and 3,659,112

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Solution

The third proportional to 1,696,716 and 3,659,112 is: 7,891,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,716 : 3,659,112 = 3,659,112 : x
  2. Step 2: Convert to fraction form
    1,696,716/3,659,112 = 3,659,112/x
  3. Step 3: Cross multiply
    1,696,716x = 3,659,112 × 3,659,112
  4. Step 4: Simplify right side
    1,696,716x = 13,389,100,628,544
  5. Step 5: Solve for x
    x = 13,389,100,628,544/1,696,716
  6. Step 6: Final answer
    x = 7,891,185.46

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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.