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Finding the Third Proportional to 389,992 and 843,948

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Solution

The third proportional to 389,992 and 843,948 is: 1,826,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,992 : 843,948 = 843,948 : x
  2. Step 2: Convert to fraction form
    389,992/843,948 = 843,948/x
  3. Step 3: Cross multiply
    389,992x = 843,948 × 843,948
  4. Step 4: Simplify right side
    389,992x = 712,248,226,704
  5. Step 5: Solve for x
    x = 712,248,226,704/389,992
  6. Step 6: Final answer
    x = 1,826,314.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.