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Finding the Third Proportional to 1,749,204 and 2,629,206

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Solution

The third proportional to 1,749,204 and 2,629,206 is: 3,951,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,204 : 2,629,206 = 2,629,206 : x
  2. Step 2: Convert to fraction form
    1,749,204/2,629,206 = 2,629,206/x
  3. Step 3: Cross multiply
    1,749,204x = 2,629,206 × 2,629,206
  4. Step 4: Simplify right side
    1,749,204x = 6,912,724,190,436
  5. Step 5: Solve for x
    x = 6,912,724,190,436/1,749,204
  6. Step 6: Final answer
    x = 3,951,925.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.