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Finding the Third Proportional to 406,944 and 851,067

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Solution

The third proportional to 406,944 and 851,067 is: 1,779,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944 : 851,067 = 851,067 : x
  2. Step 2: Convert to fraction form
    406,944/851,067 = 851,067/x
  3. Step 3: Cross multiply
    406,944x = 851,067 × 851,067
  4. Step 4: Simplify right side
    406,944x = 724,315,038,489
  5. Step 5: Solve for x
    x = 724,315,038,489/406,944
  6. Step 6: Final answer
    x = 1,779,888.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.