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Finding the Third Proportional to 785,758 and 1,715,450

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Solution

The third proportional to 785,758 and 1,715,450 is: 3,745,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,758 : 1,715,450 = 1,715,450 : x
  2. Step 2: Convert to fraction form
    785,758/1,715,450 = 1,715,450/x
  3. Step 3: Cross multiply
    785,758x = 1,715,450 × 1,715,450
  4. Step 4: Simplify right side
    785,758x = 2,942,768,702,500
  5. Step 5: Solve for x
    x = 2,942,768,702,500/785,758
  6. Step 6: Final answer
    x = 3,745,133.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.