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Finding the Third Proportional to 5,494,932 and 8,405,586

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Solution

The third proportional to 5,494,932 and 8,405,586 is: 12,858,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494,932 : 8,405,586 = 8,405,586 : x
  2. Step 2: Convert to fraction form
    5,494,932/8,405,586 = 8,405,586/x
  3. Step 3: Cross multiply
    5,494,932x = 8,405,586 × 8,405,586
  4. Step 4: Simplify right side
    5,494,932x = 70,653,876,003,396
  5. Step 5: Solve for x
    x = 70,653,876,003,396/5,494,932
  6. Step 6: Final answer
    x = 12,858,007.34

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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.