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Finding the Third Proportional to 2,102,218 and 3,246,491

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Solution

The third proportional to 2,102,218 and 3,246,491 is: 5,013,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,218 : 3,246,491 = 3,246,491 : x
  2. Step 2: Convert to fraction form
    2,102,218/3,246,491 = 3,246,491/x
  3. Step 3: Cross multiply
    2,102,218x = 3,246,491 × 3,246,491
  4. Step 4: Simplify right side
    2,102,218x = 10,539,703,813,081
  5. Step 5: Solve for x
    x = 10,539,703,813,081/2,102,218
  6. Step 6: Final answer
    x = 5,013,611.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.