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Finding the Third Proportional to 693,947.25 and 1,606,371.75

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Solution

The third proportional to 693,947.25 and 1,606,371.75 is: 3,718,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,947.25 : 1,606,371.75 = 1,606,371.75 : x
  2. Step 2: Convert to fraction form
    693,947.25/1,606,371.75 = 1,606,371.75/x
  3. Step 3: Cross multiply
    693,947.25x = 1,606,371.75 × 1,606,371.75
  4. Step 4: Simplify right side
    693,947.25x = 2,580,430,199,198.06
  5. Step 5: Solve for x
    x = 2,580,430,199,198.06/693,947.25
  6. Step 6: Final answer
    x = 3,718,481.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.