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Finding the Third Proportional to 384,892 and 844,142

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Solution

The third proportional to 384,892 and 844,142 is: 1,851,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,892 : 844,142 = 844,142 : x
  2. Step 2: Convert to fraction form
    384,892/844,142 = 844,142/x
  3. Step 3: Cross multiply
    384,892x = 844,142 × 844,142
  4. Step 4: Simplify right side
    384,892x = 712,575,716,164
  5. Step 5: Solve for x
    x = 712,575,716,164/384,892
  6. Step 6: Final answer
    x = 1,851,365.36

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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.