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Finding the Third Proportional to 461,589 and 959,870

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Solution

The third proportional to 461,589 and 959,870 is: 1,996,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,589 : 959,870 = 959,870 : x
  2. Step 2: Convert to fraction form
    461,589/959,870 = 959,870/x
  3. Step 3: Cross multiply
    461,589x = 959,870 × 959,870
  4. Step 4: Simplify right side
    461,589x = 921,350,416,900
  5. Step 5: Solve for x
    x = 921,350,416,900/461,589
  6. Step 6: Final answer
    x = 1,996,040.67

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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.