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Finding the Third Proportional to 3,219,328 and 6,822,474

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Solution

The third proportional to 3,219,328 and 6,822,474 is: 14,458,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,328 : 6,822,474 = 6,822,474 : x
  2. Step 2: Convert to fraction form
    3,219,328/6,822,474 = 6,822,474/x
  3. Step 3: Cross multiply
    3,219,328x = 6,822,474 × 6,822,474
  4. Step 4: Simplify right side
    3,219,328x = 46,546,151,480,676
  5. Step 5: Solve for x
    x = 46,546,151,480,676/3,219,328
  6. Step 6: Final answer
    x = 14,458,343.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.