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Finding the Third Proportional to 411,936 and 890,495

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Solution

The third proportional to 411,936 and 890,495 is: 1,925,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,936 : 890,495 = 890,495 : x
  2. Step 2: Convert to fraction form
    411,936/890,495 = 890,495/x
  3. Step 3: Cross multiply
    411,936x = 890,495 × 890,495
  4. Step 4: Simplify right side
    411,936x = 792,981,345,025
  5. Step 5: Solve for x
    x = 792,981,345,025/411,936
  6. Step 6: Final answer
    x = 1,925,011.03

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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.