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Finding the Third Proportional to 461,590 and 959,872

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Solution

The third proportional to 461,590 and 959,872 is: 1,996,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,590 : 959,872 = 959,872 : x
  2. Step 2: Convert to fraction form
    461,590/959,872 = 959,872/x
  3. Step 3: Cross multiply
    461,590x = 959,872 × 959,872
  4. Step 4: Simplify right side
    461,590x = 921,354,256,384
  5. Step 5: Solve for x
    x = 921,354,256,384/461,590
  6. Step 6: Final answer
    x = 1,996,044.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.