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Finding the Third Proportional to 1,228,761.14 and 1,843,142.34

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Solution

The third proportional to 1,228,761.14 and 1,843,142.34 is: 2,764,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,761.14 : 1,843,142.34 = 1,843,142.34 : x
  2. Step 2: Convert to fraction form
    1,228,761.14/1,843,142.34 = 1,843,142.34/x
  3. Step 3: Cross multiply
    1,228,761.14x = 1,843,142.34 × 1,843,142.34
  4. Step 4: Simplify right side
    1,228,761.14x = 3,397,173,699,324.24
  5. Step 5: Solve for x
    x = 3,397,173,699,324.24/1,228,761.14
  6. Step 6: Final answer
    x = 2,764,714.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.