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Finding the Third Proportional to 3,257,226 and 6,432,705

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Solution

The third proportional to 3,257,226 and 6,432,705 is: 12,703,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,226 : 6,432,705 = 6,432,705 : x
  2. Step 2: Convert to fraction form
    3,257,226/6,432,705 = 6,432,705/x
  3. Step 3: Cross multiply
    3,257,226x = 6,432,705 × 6,432,705
  4. Step 4: Simplify right side
    3,257,226x = 41,379,693,617,025
  5. Step 5: Solve for x
    x = 41,379,693,617,025/3,257,226
  6. Step 6: Final answer
    x = 12,703,967.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.