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Finding the Third Proportional to 1,037,108 and 2,218,078

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Solution

The third proportional to 1,037,108 and 2,218,078 is: 4,743,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,108 : 2,218,078 = 2,218,078 : x
  2. Step 2: Convert to fraction form
    1,037,108/2,218,078 = 2,218,078/x
  3. Step 3: Cross multiply
    1,037,108x = 2,218,078 × 2,218,078
  4. Step 4: Simplify right side
    1,037,108x = 4,919,870,014,084
  5. Step 5: Solve for x
    x = 4,919,870,014,084/1,037,108
  6. Step 6: Final answer
    x = 4,743,835.76

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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.