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Finding the Third Proportional to 391,169 and 942,026

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Solution

The third proportional to 391,169 and 942,026 is: 2,268,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,169 : 942,026 = 942,026 : x
  2. Step 2: Convert to fraction form
    391,169/942,026 = 942,026/x
  3. Step 3: Cross multiply
    391,169x = 942,026 × 942,026
  4. Step 4: Simplify right side
    391,169x = 887,412,984,676
  5. Step 5: Solve for x
    x = 887,412,984,676/391,169
  6. Step 6: Final answer
    x = 2,268,617.87

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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.