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Finding the Third Proportional to 461,586 and 959,862

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Solution

The third proportional to 461,586 and 959,862 is: 1,996,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,586 : 959,862 = 959,862 : x
  2. Step 2: Convert to fraction form
    461,586/959,862 = 959,862/x
  3. Step 3: Cross multiply
    461,586x = 959,862 × 959,862
  4. Step 4: Simplify right side
    461,586x = 921,335,059,044
  5. Step 5: Solve for x
    x = 921,335,059,044/461,586
  6. Step 6: Final answer
    x = 1,996,020.37

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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.