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Finding the Third Proportional to 417,736 and 883,096

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Solution

The third proportional to 417,736 and 883,096 is: 1,866,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,736 : 883,096 = 883,096 : x
  2. Step 2: Convert to fraction form
    417,736/883,096 = 883,096/x
  3. Step 3: Cross multiply
    417,736x = 883,096 × 883,096
  4. Step 4: Simplify right side
    417,736x = 779,858,545,216
  5. Step 5: Solve for x
    x = 779,858,545,216/417,736
  6. Step 6: Final answer
    x = 1,866,869.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.