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Finding the Third Proportional to 411,852 and 890,325

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Solution

The third proportional to 411,852 and 890,325 is: 1,924,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,852 : 890,325 = 890,325 : x
  2. Step 2: Convert to fraction form
    411,852/890,325 = 890,325/x
  3. Step 3: Cross multiply
    411,852x = 890,325 × 890,325
  4. Step 4: Simplify right side
    411,852x = 792,678,605,625
  5. Step 5: Solve for x
    x = 792,678,605,625/411,852
  6. Step 6: Final answer
    x = 1,924,668.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.