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Finding the Third Proportional to 481,956.19 and 1,046,879.44

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Solution

The third proportional to 481,956.19 and 1,046,879.44 is: 2,273,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,956.19 : 1,046,879.44 = 1,046,879.44 : x
  2. Step 2: Convert to fraction form
    481,956.19/1,046,879.44 = 1,046,879.44/x
  3. Step 3: Cross multiply
    481,956.19x = 1,046,879.44 × 1,046,879.44
  4. Step 4: Simplify right side
    481,956.19x = 1,095,956,556,660.32
  5. Step 5: Solve for x
    x = 1,095,956,556,660.32/481,956.19
  6. Step 6: Final answer
    x = 2,273,975.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.