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Finding the Third Proportional to 406,602 and 858,979.25

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Solution

The third proportional to 406,602 and 858,979.25 is: 1,814,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,602 : 858,979.25 = 858,979.25 : x
  2. Step 2: Convert to fraction form
    406,602/858,979.25 = 858,979.25/x
  3. Step 3: Cross multiply
    406,602x = 858,979.25 × 858,979.25
  4. Step 4: Simplify right side
    406,602x = 737,845,351,930.56
  5. Step 5: Solve for x
    x = 737,845,351,930.56/406,602
  6. Step 6: Final answer
    x = 1,814,662.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.