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Finding the Third Proportional to 868,208 and 1,861,016

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Solution

The third proportional to 868,208 and 1,861,016 is: 3,989,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,208 : 1,861,016 = 1,861,016 : x
  2. Step 2: Convert to fraction form
    868,208/1,861,016 = 1,861,016/x
  3. Step 3: Cross multiply
    868,208x = 1,861,016 × 1,861,016
  4. Step 4: Simplify right side
    868,208x = 3,463,380,552,256
  5. Step 5: Solve for x
    x = 3,463,380,552,256/868,208
  6. Step 6: Final answer
    x = 3,989,113.84

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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.