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Finding the Third Proportional to 3,913,982 and 5,511,747

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Solution

The third proportional to 3,913,982 and 5,511,747 is: 7,761,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913,982 : 5,511,747 = 5,511,747 : x
  2. Step 2: Convert to fraction form
    3,913,982/5,511,747 = 5,511,747/x
  3. Step 3: Cross multiply
    3,913,982x = 5,511,747 × 5,511,747
  4. Step 4: Simplify right side
    3,913,982x = 30,379,354,992,009
  5. Step 5: Solve for x
    x = 30,379,354,992,009/3,913,982
  6. Step 6: Final answer
    x = 7,761,751.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.