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Finding the Third Proportional to 864,993 and 1,857,849

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Solution

The third proportional to 864,993 and 1,857,849 is: 3,990,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,993 : 1,857,849 = 1,857,849 : x
  2. Step 2: Convert to fraction form
    864,993/1,857,849 = 1,857,849/x
  3. Step 3: Cross multiply
    864,993x = 1,857,849 × 1,857,849
  4. Step 4: Simplify right side
    864,993x = 3,451,602,906,801
  5. Step 5: Solve for x
    x = 3,451,602,906,801/864,993
  6. Step 6: Final answer
    x = 3,990,324.67

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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.