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Finding the Third Proportional to 397,668 and 870,936

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Solution

The third proportional to 397,668 and 870,936 is: 1,907,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,668 : 870,936 = 870,936 : x
  2. Step 2: Convert to fraction form
    397,668/870,936 = 870,936/x
  3. Step 3: Cross multiply
    397,668x = 870,936 × 870,936
  4. Step 4: Simplify right side
    397,668x = 758,529,516,096
  5. Step 5: Solve for x
    x = 758,529,516,096/397,668
  6. Step 6: Final answer
    x = 1,907,444.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.