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Finding the Third Proportional to 449,124.75 and 981,537.75

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Solution

The third proportional to 449,124.75 and 981,537.75 is: 2,145,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,124.75 : 981,537.75 = 981,537.75 : x
  2. Step 2: Convert to fraction form
    449,124.75/981,537.75 = 981,537.75/x
  3. Step 3: Cross multiply
    449,124.75x = 981,537.75 × 981,537.75
  4. Step 4: Simplify right side
    449,124.75x = 963,416,354,675.06
  5. Step 5: Solve for x
    x = 963,416,354,675.06/449,124.75
  6. Step 6: Final answer
    x = 2,145,097.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.