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Finding the Third Proportional to 605,738.44 and 1,321,502.44

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Solution

The third proportional to 605,738.44 and 1,321,502.44 is: 2,883,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,738.44 : 1,321,502.44 = 1,321,502.44 : x
  2. Step 2: Convert to fraction form
    605,738.44/1,321,502.44 = 1,321,502.44/x
  3. Step 3: Cross multiply
    605,738.44x = 1,321,502.44 × 1,321,502.44
  4. Step 4: Simplify right side
    605,738.44x = 1,746,368,692,318.44
  5. Step 5: Solve for x
    x = 1,746,368,692,318.44/605,738.44
  6. Step 6: Final answer
    x = 2,883,040.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.