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Finding the Third Proportional to 412,053 and 855,686

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Solution

The third proportional to 412,053 and 855,686 is: 1,776,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,053 : 855,686 = 855,686 : x
  2. Step 2: Convert to fraction form
    412,053/855,686 = 855,686/x
  3. Step 3: Cross multiply
    412,053x = 855,686 × 855,686
  4. Step 4: Simplify right side
    412,053x = 732,198,530,596
  5. Step 5: Solve for x
    x = 732,198,530,596/412,053
  6. Step 6: Final answer
    x = 1,776,952.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.