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Finding the Third Proportional to 413,452 and 890,244

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Solution

The third proportional to 413,452 and 890,244 is: 1,916,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,452 : 890,244 = 890,244 : x
  2. Step 2: Convert to fraction form
    413,452/890,244 = 890,244/x
  3. Step 3: Cross multiply
    413,452x = 890,244 × 890,244
  4. Step 4: Simplify right side
    413,452x = 792,534,379,536
  5. Step 5: Solve for x
    x = 792,534,379,536/413,452
  6. Step 6: Final answer
    x = 1,916,871.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.