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Finding the Third Proportional to 4,089,177 and 6,415,251

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Solution

The third proportional to 4,089,177 and 6,415,251 is: 10,064,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,177 : 6,415,251 = 6,415,251 : x
  2. Step 2: Convert to fraction form
    4,089,177/6,415,251 = 6,415,251/x
  3. Step 3: Cross multiply
    4,089,177x = 6,415,251 × 6,415,251
  4. Step 4: Simplify right side
    4,089,177x = 41,155,445,393,001
  5. Step 5: Solve for x
    x = 41,155,445,393,001/4,089,177
  6. Step 6: Final answer
    x = 10,064,481.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.