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Finding the Third Proportional to 411,934 and 890,491

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Solution

The third proportional to 411,934 and 890,491 is: 1,925,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,934 : 890,491 = 890,491 : x
  2. Step 2: Convert to fraction form
    411,934/890,491 = 890,491/x
  3. Step 3: Cross multiply
    411,934x = 890,491 × 890,491
  4. Step 4: Simplify right side
    411,934x = 792,974,221,081
  5. Step 5: Solve for x
    x = 792,974,221,081/411,934
  6. Step 6: Final answer
    x = 1,925,003.09

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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.