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Finding the Third Proportional to 787,676 and 1,727,834

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Solution

The third proportional to 787,676 and 1,727,834 is: 3,790,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,676 : 1,727,834 = 1,727,834 : x
  2. Step 2: Convert to fraction form
    787,676/1,727,834 = 1,727,834/x
  3. Step 3: Cross multiply
    787,676x = 1,727,834 × 1,727,834
  4. Step 4: Simplify right side
    787,676x = 2,985,410,331,556
  5. Step 5: Solve for x
    x = 2,985,410,331,556/787,676
  6. Step 6: Final answer
    x = 3,790,150.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.