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Finding the Third Proportional to 3,913,974 and 5,511,726

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Solution

The third proportional to 3,913,974 and 5,511,726 is: 7,761,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913,974 : 5,511,726 = 5,511,726 : x
  2. Step 2: Convert to fraction form
    3,913,974/5,511,726 = 5,511,726/x
  3. Step 3: Cross multiply
    3,913,974x = 5,511,726 × 5,511,726
  4. Step 4: Simplify right side
    3,913,974x = 30,379,123,499,076
  5. Step 5: Solve for x
    x = 30,379,123,499,076/3,913,974
  6. Step 6: Final answer
    x = 7,761,708.05

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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.