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Finding the Third Proportional to 4,101,129 and 6,589,098

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Solution

The third proportional to 4,101,129 and 6,589,098 is: 10,586,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,129 : 6,589,098 = 6,589,098 : x
  2. Step 2: Convert to fraction form
    4,101,129/6,589,098 = 6,589,098/x
  3. Step 3: Cross multiply
    4,101,129x = 6,589,098 × 6,589,098
  4. Step 4: Simplify right side
    4,101,129x = 43,416,212,453,604
  5. Step 5: Solve for x
    x = 43,416,212,453,604/4,101,129
  6. Step 6: Final answer
    x = 10,586,404.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.