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Finding the Third Proportional to 1,251,025 and 2,679,197

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Solution

The third proportional to 1,251,025 and 2,679,197 is: 5,737,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,025 : 2,679,197 = 2,679,197 : x
  2. Step 2: Convert to fraction form
    1,251,025/2,679,197 = 2,679,197/x
  3. Step 3: Cross multiply
    1,251,025x = 2,679,197 × 2,679,197
  4. Step 4: Simplify right side
    1,251,025x = 7,178,096,564,809
  5. Step 5: Solve for x
    x = 7,178,096,564,809/1,251,025
  6. Step 6: Final answer
    x = 5,737,772.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.