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Finding the Third Proportional to 855,849 and 1,833,144

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Solution

The third proportional to 855,849 and 1,833,144 is: 3,926,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,849 : 1,833,144 = 1,833,144 : x
  2. Step 2: Convert to fraction form
    855,849/1,833,144 = 1,833,144/x
  3. Step 3: Cross multiply
    855,849x = 1,833,144 × 1,833,144
  4. Step 4: Simplify right side
    855,849x = 3,360,416,924,736
  5. Step 5: Solve for x
    x = 3,360,416,924,736/855,849
  6. Step 6: Final answer
    x = 3,926,413.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.