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Finding the Third Proportional to 1,697,016 and 3,659,576

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Solution

The third proportional to 1,697,016 and 3,659,576 is: 7,891,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,016 : 3,659,576 = 3,659,576 : x
  2. Step 2: Convert to fraction form
    1,697,016/3,659,576 = 3,659,576/x
  3. Step 3: Cross multiply
    1,697,016x = 3,659,576 × 3,659,576
  4. Step 4: Simplify right side
    1,697,016x = 13,392,496,499,776
  5. Step 5: Solve for x
    x = 13,392,496,499,776/1,697,016
  6. Step 6: Final answer
    x = 7,891,791.53

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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.