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Finding the Third Proportional to 407,944 and 883,672

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Solution

The third proportional to 407,944 and 883,672 is: 1,914,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,944 : 883,672 = 883,672 : x
  2. Step 2: Convert to fraction form
    407,944/883,672 = 883,672/x
  3. Step 3: Cross multiply
    407,944x = 883,672 × 883,672
  4. Step 4: Simplify right side
    407,944x = 780,876,203,584
  5. Step 5: Solve for x
    x = 780,876,203,584/407,944
  6. Step 6: Final answer
    x = 1,914,174.99

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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.