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Finding the Third Proportional to 449,489.25 and 981,811.13

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Solution

The third proportional to 449,489.25 and 981,811.13 is: 2,144,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,489.25 : 981,811.13 = 981,811.13 : x
  2. Step 2: Convert to fraction form
    449,489.25/981,811.13 = 981,811.13/x
  3. Step 3: Cross multiply
    449,489.25x = 981,811.13 × 981,811.13
  4. Step 4: Simplify right side
    449,489.25x = 963,953,085,173.77
  5. Step 5: Solve for x
    x = 963,953,085,173.77/449,489.25
  6. Step 6: Final answer
    x = 2,144,552.03

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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.