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Finding the Third Proportional to 391,644 and 857,916

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Solution

The third proportional to 391,644 and 857,916 is: 1,879,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,644 : 857,916 = 857,916 : x
  2. Step 2: Convert to fraction form
    391,644/857,916 = 857,916/x
  3. Step 3: Cross multiply
    391,644x = 857,916 × 857,916
  4. Step 4: Simplify right side
    391,644x = 736,019,863,056
  5. Step 5: Solve for x
    x = 736,019,863,056/391,644
  6. Step 6: Final answer
    x = 1,879,308.41

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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.