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Finding the Third Proportional to 3,201,274 and 4,883,214

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Solution

The third proportional to 3,201,274 and 4,883,214 is: 7,448,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,274 : 4,883,214 = 4,883,214 : x
  2. Step 2: Convert to fraction form
    3,201,274/4,883,214 = 4,883,214/x
  3. Step 3: Cross multiply
    3,201,274x = 4,883,214 × 4,883,214
  4. Step 4: Simplify right side
    3,201,274x = 23,845,778,969,796
  5. Step 5: Solve for x
    x = 23,845,778,969,796/3,201,274
  6. Step 6: Final answer
    x = 7,448,840.36

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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.