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Finding the Third Proportional to 948,067 and 1,761,632

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Solution

The third proportional to 948,067 and 1,761,632 is: 3,273,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,067 : 1,761,632 = 1,761,632 : x
  2. Step 2: Convert to fraction form
    948,067/1,761,632 = 1,761,632/x
  3. Step 3: Cross multiply
    948,067x = 1,761,632 × 1,761,632
  4. Step 4: Simplify right side
    948,067x = 3,103,347,303,424
  5. Step 5: Solve for x
    x = 3,103,347,303,424/948,067
  6. Step 6: Final answer
    x = 3,273,341.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.