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Finding the Third Proportional to 626,812 and 941,610

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Solution

The third proportional to 626,812 and 941,610 is: 1,414,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,812 : 941,610 = 941,610 : x
  2. Step 2: Convert to fraction form
    626,812/941,610 = 941,610/x
  3. Step 3: Cross multiply
    626,812x = 941,610 × 941,610
  4. Step 4: Simplify right side
    626,812x = 886,629,392,100
  5. Step 5: Solve for x
    x = 886,629,392,100/626,812
  6. Step 6: Final answer
    x = 1,414,506.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.