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Finding the Third Proportional to 701,591.63 and 1,515,449.25

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Solution

The third proportional to 701,591.63 and 1,515,449.25 is: 3,273,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,591.63 : 1,515,449.25 = 1,515,449.25 : x
  2. Step 2: Convert to fraction form
    701,591.63/1,515,449.25 = 1,515,449.25/x
  3. Step 3: Cross multiply
    701,591.63x = 1,515,449.25 × 1,515,449.25
  4. Step 4: Simplify right side
    701,591.63x = 2,296,586,429,325.56
  5. Step 5: Solve for x
    x = 2,296,586,429,325.56/701,591.63
  6. Step 6: Final answer
    x = 3,273,394.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.