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Finding the Third Proportional to 399,786 and 858,858

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Solution

The third proportional to 399,786 and 858,858 is: 1,845,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,786 : 858,858 = 858,858 : x
  2. Step 2: Convert to fraction form
    399,786/858,858 = 858,858/x
  3. Step 3: Cross multiply
    399,786x = 858,858 × 858,858
  4. Step 4: Simplify right side
    399,786x = 737,637,064,164
  5. Step 5: Solve for x
    x = 737,637,064,164/399,786
  6. Step 6: Final answer
    x = 1,845,079.78

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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.