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Finding the Third Proportional to 391,718 and 857,241

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Solution

The third proportional to 391,718 and 857,241 is: 1,875,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,718 : 857,241 = 857,241 : x
  2. Step 2: Convert to fraction form
    391,718/857,241 = 857,241/x
  3. Step 3: Cross multiply
    391,718x = 857,241 × 857,241
  4. Step 4: Simplify right side
    391,718x = 734,862,132,081
  5. Step 5: Solve for x
    x = 734,862,132,081/391,718
  6. Step 6: Final answer
    x = 1,875,997.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.