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Finding the Third Proportional to 407,539 and 885,096

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Solution

The third proportional to 407,539 and 885,096 is: 1,922,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,539 : 885,096 = 885,096 : x
  2. Step 2: Convert to fraction form
    407,539/885,096 = 885,096/x
  3. Step 3: Cross multiply
    407,539x = 885,096 × 885,096
  4. Step 4: Simplify right side
    407,539x = 783,394,929,216
  5. Step 5: Solve for x
    x = 783,394,929,216/407,539
  6. Step 6: Final answer
    x = 1,922,257.57

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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.