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Finding the Third Proportional to 386,467 and 826,006

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Solution

The third proportional to 386,467 and 826,006 is: 1,765,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,467 : 826,006 = 826,006 : x
  2. Step 2: Convert to fraction form
    386,467/826,006 = 826,006/x
  3. Step 3: Cross multiply
    386,467x = 826,006 × 826,006
  4. Step 4: Simplify right side
    386,467x = 682,285,912,036
  5. Step 5: Solve for x
    x = 682,285,912,036/386,467
  6. Step 6: Final answer
    x = 1,765,444.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.