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Finding the Third Proportional to 489,734.25 and 1,029,042.75

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Solution

The third proportional to 489,734.25 and 1,029,042.75 is: 2,162,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,734.25 : 1,029,042.75 = 1,029,042.75 : x
  2. Step 2: Convert to fraction form
    489,734.25/1,029,042.75 = 1,029,042.75/x
  3. Step 3: Cross multiply
    489,734.25x = 1,029,042.75 × 1,029,042.75
  4. Step 4: Simplify right side
    489,734.25x = 1,058,928,981,327.56
  5. Step 5: Solve for x
    x = 1,058,928,981,327.56/489,734.25
  6. Step 6: Final answer
    x = 2,162,252.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.