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Finding the Third Proportional to 407,832 and 885,728

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Solution

The third proportional to 407,832 and 885,728 is: 1,923,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,832 : 885,728 = 885,728 : x
  2. Step 2: Convert to fraction form
    407,832/885,728 = 885,728/x
  3. Step 3: Cross multiply
    407,832x = 885,728 × 885,728
  4. Step 4: Simplify right side
    407,832x = 784,514,089,984
  5. Step 5: Solve for x
    x = 784,514,089,984/407,832
  6. Step 6: Final answer
    x = 1,923,620.73

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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.