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Finding the Third Proportional to 1,696,674 and 3,659,022

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Solution

The third proportional to 1,696,674 and 3,659,022 is: 7,890,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,674 : 3,659,022 = 3,659,022 : x
  2. Step 2: Convert to fraction form
    1,696,674/3,659,022 = 3,659,022/x
  3. Step 3: Cross multiply
    1,696,674x = 3,659,022 × 3,659,022
  4. Step 4: Simplify right side
    1,696,674x = 13,388,441,996,484
  5. Step 5: Solve for x
    x = 13,388,441,996,484/1,696,674
  6. Step 6: Final answer
    x = 7,890,992.61

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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.