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Finding the Third Proportional to 489,067 and 1,009,561

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Solution

The third proportional to 489,067 and 1,009,561 is: 2,083,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,067 : 1,009,561 = 1,009,561 : x
  2. Step 2: Convert to fraction form
    489,067/1,009,561 = 1,009,561/x
  3. Step 3: Cross multiply
    489,067x = 1,009,561 × 1,009,561
  4. Step 4: Simplify right side
    489,067x = 1,019,213,412,721
  5. Step 5: Solve for x
    x = 1,019,213,412,721/489,067
  6. Step 6: Final answer
    x = 2,083,995.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.