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Finding the Third Proportional to 399,774 and 858,834

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Solution

The third proportional to 399,774 and 858,834 is: 1,845,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,774 : 858,834 = 858,834 : x
  2. Step 2: Convert to fraction form
    399,774/858,834 = 858,834/x
  3. Step 3: Cross multiply
    399,774x = 858,834 × 858,834
  4. Step 4: Simplify right side
    399,774x = 737,595,839,556
  5. Step 5: Solve for x
    x = 737,595,839,556/399,774
  6. Step 6: Final answer
    x = 1,845,032.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.