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Finding the Third Proportional to 621,661 and 962,837

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Solution

The third proportional to 621,661 and 962,837 is: 1,491,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,661 : 962,837 = 962,837 : x
  2. Step 2: Convert to fraction form
    621,661/962,837 = 962,837/x
  3. Step 3: Cross multiply
    621,661x = 962,837 × 962,837
  4. Step 4: Simplify right side
    621,661x = 927,055,088,569
  5. Step 5: Solve for x
    x = 927,055,088,569/621,661
  6. Step 6: Final answer
    x = 1,491,255.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.