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Finding the Third Proportional to 406,809 and 874,842.75

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Solution

The third proportional to 406,809 and 874,842.75 is: 1,881,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,809 : 874,842.75 = 874,842.75 : x
  2. Step 2: Convert to fraction form
    406,809/874,842.75 = 874,842.75/x
  3. Step 3: Cross multiply
    406,809x = 874,842.75 × 874,842.75
  4. Step 4: Simplify right side
    406,809x = 765,349,837,227.56
  5. Step 5: Solve for x
    x = 765,349,837,227.56/406,809
  6. Step 6: Final answer
    x = 1,881,349.32

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