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Finding the Third Proportional to 441,924 and 962,600

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Solution

The third proportional to 441,924 and 962,600 is: 2,096,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,924 : 962,600 = 962,600 : x
  2. Step 2: Convert to fraction form
    441,924/962,600 = 962,600/x
  3. Step 3: Cross multiply
    441,924x = 962,600 × 962,600
  4. Step 4: Simplify right side
    441,924x = 926,598,760,000
  5. Step 5: Solve for x
    x = 926,598,760,000/441,924
  6. Step 6: Final answer
    x = 2,096,737.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.