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Finding the Third Proportional to 631,406 and 962,868

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Solution

The third proportional to 631,406 and 962,868 is: 1,468,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,406 : 962,868 = 962,868 : x
  2. Step 2: Convert to fraction form
    631,406/962,868 = 962,868/x
  3. Step 3: Cross multiply
    631,406x = 962,868 × 962,868
  4. Step 4: Simplify right side
    631,406x = 927,114,785,424
  5. Step 5: Solve for x
    x = 927,114,785,424/631,406
  6. Step 6: Final answer
    x = 1,468,333.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.