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Finding the Third Proportional to 3,201,269 and 4,883,205

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Solution

The third proportional to 3,201,269 and 4,883,205 is: 7,448,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,269 : 4,883,205 = 4,883,205 : x
  2. Step 2: Convert to fraction form
    3,201,269/4,883,205 = 4,883,205/x
  3. Step 3: Cross multiply
    3,201,269x = 4,883,205 × 4,883,205
  4. Step 4: Simplify right side
    3,201,269x = 23,845,691,072,025
  5. Step 5: Solve for x
    x = 23,845,691,072,025/3,201,269
  6. Step 6: Final answer
    x = 7,448,824.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.