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Finding the Third Proportional to 4,189,179 and 6,405,606

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Solution

The third proportional to 4,189,179 and 6,405,606 is: 9,794,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,179 : 6,405,606 = 6,405,606 : x
  2. Step 2: Convert to fraction form
    4,189,179/6,405,606 = 6,405,606/x
  3. Step 3: Cross multiply
    4,189,179x = 6,405,606 × 6,405,606
  4. Step 4: Simplify right side
    4,189,179x = 41,031,788,227,236
  5. Step 5: Solve for x
    x = 41,031,788,227,236/4,189,179
  6. Step 6: Final answer
    x = 9,794,708.75

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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.