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Finding the Third Proportional to 1,690,991.44 and 3,548,149.31

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Solution

The third proportional to 1,690,991.44 and 3,548,149.31 is: 7,444,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,991.44 : 3,548,149.31 = 3,548,149.31 : x
  2. Step 2: Convert to fraction form
    1,690,991.44/3,548,149.31 = 3,548,149.31/x
  3. Step 3: Cross multiply
    1,690,991.44x = 3,548,149.31 × 3,548,149.31
  4. Step 4: Simplify right side
    1,690,991.44x = 12,589,363,543,794.22
  5. Step 5: Solve for x
    x = 12,589,363,543,794.22/1,690,991.44
  6. Step 6: Final answer
    x = 7,444,959.96

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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.