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Finding the Third Proportional to 446,230.41 and 981,034.17

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Solution

The third proportional to 446,230.41 and 981,034.17 is: 2,156,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,230.41 : 981,034.17 = 981,034.17 : x
  2. Step 2: Convert to fraction form
    446,230.41/981,034.17 = 981,034.17/x
  3. Step 3: Cross multiply
    446,230.41x = 981,034.17 × 981,034.17
  4. Step 4: Simplify right side
    446,230.41x = 962,428,046,386.47
  5. Step 5: Solve for x
    x = 962,428,046,386.47/446,230.41
  6. Step 6: Final answer
    x = 2,156,796.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.