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Finding the Third Proportional to 411,848 and 890,317

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Solution

The third proportional to 411,848 and 890,317 is: 1,924,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,848 : 890,317 = 890,317 : x
  2. Step 2: Convert to fraction form
    411,848/890,317 = 890,317/x
  3. Step 3: Cross multiply
    411,848x = 890,317 × 890,317
  4. Step 4: Simplify right side
    411,848x = 792,664,360,489
  5. Step 5: Solve for x
    x = 792,664,360,489/411,848
  6. Step 6: Final answer
    x = 1,924,652.69

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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.