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Finding the Third Proportional to 467,936 and 958,004

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Solution

The third proportional to 467,936 and 958,004 is: 1,961,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,936 : 958,004 = 958,004 : x
  2. Step 2: Convert to fraction form
    467,936/958,004 = 958,004/x
  3. Step 3: Cross multiply
    467,936x = 958,004 × 958,004
  4. Step 4: Simplify right side
    467,936x = 917,771,664,016
  5. Step 5: Solve for x
    x = 917,771,664,016/467,936
  6. Step 6: Final answer
    x = 1,961,318.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.