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Finding the Third Proportional to 457,992 and 976,850

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Solution

The third proportional to 457,992 and 976,850 is: 2,083,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,992 : 976,850 = 976,850 : x
  2. Step 2: Convert to fraction form
    457,992/976,850 = 976,850/x
  3. Step 3: Cross multiply
    457,992x = 976,850 × 976,850
  4. Step 4: Simplify right side
    457,992x = 954,235,922,500
  5. Step 5: Solve for x
    x = 954,235,922,500/457,992
  6. Step 6: Final answer
    x = 2,083,520.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.