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Finding the Third Proportional to 845,976.94 and 1,761,659.44

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Solution

The third proportional to 845,976.94 and 1,761,659.44 is: 3,668,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,976.94 : 1,761,659.44 = 1,761,659.44 : x
  2. Step 2: Convert to fraction form
    845,976.94/1,761,659.44 = 1,761,659.44/x
  3. Step 3: Cross multiply
    845,976.94x = 1,761,659.44 × 1,761,659.44
  4. Step 4: Simplify right side
    845,976.94x = 3,103,443,973,732.82
  5. Step 5: Solve for x
    x = 3,103,443,973,732.82/845,976.94
  6. Step 6: Final answer
    x = 3,668,473.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.