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Finding the Third Proportional to 467,936 and 958,048

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Solution

The third proportional to 467,936 and 958,048 is: 1,961,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,936 : 958,048 = 958,048 : x
  2. Step 2: Convert to fraction form
    467,936/958,048 = 958,048/x
  3. Step 3: Cross multiply
    467,936x = 958,048 × 958,048
  4. Step 4: Simplify right side
    467,936x = 917,855,970,304
  5. Step 5: Solve for x
    x = 917,855,970,304/467,936
  6. Step 6: Final answer
    x = 1,961,498.94

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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.