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Finding the Third Proportional to 4,138,652 and 6,385,174

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Solution

The third proportional to 4,138,652 and 6,385,174 is: 9,851,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,652 : 6,385,174 = 6,385,174 : x
  2. Step 2: Convert to fraction form
    4,138,652/6,385,174 = 6,385,174/x
  3. Step 3: Cross multiply
    4,138,652x = 6,385,174 × 6,385,174
  4. Step 4: Simplify right side
    4,138,652x = 40,770,447,010,276
  5. Step 5: Solve for x
    x = 40,770,447,010,276/4,138,652
  6. Step 6: Final answer
    x = 9,851,141.63

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