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Finding the Third Proportional to 418,114 and 890,168

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Solution

The third proportional to 418,114 and 890,168 is: 1,895,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,114 : 890,168 = 890,168 : x
  2. Step 2: Convert to fraction form
    418,114/890,168 = 890,168/x
  3. Step 3: Cross multiply
    418,114x = 890,168 × 890,168
  4. Step 4: Simplify right side
    418,114x = 792,399,068,224
  5. Step 5: Solve for x
    x = 792,399,068,224/418,114
  6. Step 6: Final answer
    x = 1,895,174.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.