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Finding the Third Proportional to 3,981,816 and 6,148,749

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Solution

The third proportional to 3,981,816 and 6,148,749 is: 9,494,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981,816 : 6,148,749 = 6,148,749 : x
  2. Step 2: Convert to fraction form
    3,981,816/6,148,749 = 6,148,749/x
  3. Step 3: Cross multiply
    3,981,816x = 6,148,749 × 6,148,749
  4. Step 4: Simplify right side
    3,981,816x = 37,807,114,265,001
  5. Step 5: Solve for x
    x = 37,807,114,265,001/3,981,816
  6. Step 6: Final answer
    x = 9,494,942.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.