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Finding the Third Proportional to 467,934 and 958,044

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Solution

The third proportional to 467,934 and 958,044 is: 1,961,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,934 : 958,044 = 958,044 : x
  2. Step 2: Convert to fraction form
    467,934/958,044 = 958,044/x
  3. Step 3: Cross multiply
    467,934x = 958,044 × 958,044
  4. Step 4: Simplify right side
    467,934x = 917,848,305,936
  5. Step 5: Solve for x
    x = 917,848,305,936/467,934
  6. Step 6: Final answer
    x = 1,961,490.95

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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.