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Finding the Third Proportional to 1,707,945 and 3,669,149

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Solution

The third proportional to 1,707,945 and 3,669,149 is: 7,882,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,945 : 3,669,149 = 3,669,149 : x
  2. Step 2: Convert to fraction form
    1,707,945/3,669,149 = 3,669,149/x
  3. Step 3: Cross multiply
    1,707,945x = 3,669,149 × 3,669,149
  4. Step 4: Simplify right side
    1,707,945x = 13,462,654,384,201
  5. Step 5: Solve for x
    x = 13,462,654,384,201/1,707,945
  6. Step 6: Final answer
    x = 7,882,369.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.