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Finding the Third Proportional to 391,126 and 941,928

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Solution

The third proportional to 391,126 and 941,928 is: 2,268,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,126 : 941,928 = 941,928 : x
  2. Step 2: Convert to fraction form
    391,126/941,928 = 941,928/x
  3. Step 3: Cross multiply
    391,126x = 941,928 × 941,928
  4. Step 4: Simplify right side
    391,126x = 887,228,357,184
  5. Step 5: Solve for x
    x = 887,228,357,184/391,126
  6. Step 6: Final answer
    x = 2,268,395.24

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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.