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Finding the Third Proportional to 391,120 and 941,914

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Solution

The third proportional to 391,120 and 941,914 is: 2,268,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,120 : 941,914 = 941,914 : x
  2. Step 2: Convert to fraction form
    391,120/941,914 = 941,914/x
  3. Step 3: Cross multiply
    391,120x = 941,914 × 941,914
  4. Step 4: Simplify right side
    391,120x = 887,201,983,396
  5. Step 5: Solve for x
    x = 887,201,983,396/391,120
  6. Step 6: Final answer
    x = 2,268,362.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.