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Finding the Third Proportional to 424,105.88 and 914,636.25

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Solution

The third proportional to 424,105.88 and 914,636.25 is: 1,972,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,105.88 : 914,636.25 = 914,636.25 : x
  2. Step 2: Convert to fraction form
    424,105.88/914,636.25 = 914,636.25/x
  3. Step 3: Cross multiply
    424,105.88x = 914,636.25 × 914,636.25
  4. Step 4: Simplify right side
    424,105.88x = 836,559,469,814.06
  5. Step 5: Solve for x
    x = 836,559,469,814.06/424,105.88
  6. Step 6: Final answer
    x = 1,972,525.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.