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Finding the Third Proportional to 839,810 and 1,275,267

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Solution

The third proportional to 839,810 and 1,275,267 is: 1,936,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,810 : 1,275,267 = 1,275,267 : x
  2. Step 2: Convert to fraction form
    839,810/1,275,267 = 1,275,267/x
  3. Step 3: Cross multiply
    839,810x = 1,275,267 × 1,275,267
  4. Step 4: Simplify right side
    839,810x = 1,626,305,921,289
  5. Step 5: Solve for x
    x = 1,626,305,921,289/839,810
  6. Step 6: Final answer
    x = 1,936,516.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.