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Finding the Third Proportional to 1,013,236 and 1,581,198

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Solution

The third proportional to 1,013,236 and 1,581,198 is: 2,467,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,236 : 1,581,198 = 1,581,198 : x
  2. Step 2: Convert to fraction form
    1,013,236/1,581,198 = 1,581,198/x
  3. Step 3: Cross multiply
    1,013,236x = 1,581,198 × 1,581,198
  4. Step 4: Simplify right side
    1,013,236x = 2,500,187,115,204
  5. Step 5: Solve for x
    x = 2,500,187,115,204/1,013,236
  6. Step 6: Final answer
    x = 2,467,526.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.