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Finding the Third Proportional to 4,194,934 and 6,349,116

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Solution

The third proportional to 4,194,934 and 6,349,116 is: 9,609,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,934 : 6,349,116 = 6,349,116 : x
  2. Step 2: Convert to fraction form
    4,194,934/6,349,116 = 6,349,116/x
  3. Step 3: Cross multiply
    4,194,934x = 6,349,116 × 6,349,116
  4. Step 4: Simplify right side
    4,194,934x = 40,311,273,981,456
  5. Step 5: Solve for x
    x = 40,311,273,981,456/4,194,934
  6. Step 6: Final answer
    x = 9,609,513.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.