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Finding the Third Proportional to 411,935 and 890,493

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Solution

The third proportional to 411,935 and 890,493 is: 1,925,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,935 : 890,493 = 890,493 : x
  2. Step 2: Convert to fraction form
    411,935/890,493 = 890,493/x
  3. Step 3: Cross multiply
    411,935x = 890,493 × 890,493
  4. Step 4: Simplify right side
    411,935x = 792,977,783,049
  5. Step 5: Solve for x
    x = 792,977,783,049/411,935
  6. Step 6: Final answer
    x = 1,925,007.06

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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.