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Finding the Third Proportional to 2,948,764 and 4,450,198

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Solution

The third proportional to 2,948,764 and 4,450,198 is: 6,716,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,764 : 4,450,198 = 4,450,198 : x
  2. Step 2: Convert to fraction form
    2,948,764/4,450,198 = 4,450,198/x
  3. Step 3: Cross multiply
    2,948,764x = 4,450,198 × 4,450,198
  4. Step 4: Simplify right side
    2,948,764x = 19,804,262,239,204
  5. Step 5: Solve for x
    x = 19,804,262,239,204/2,948,764
  6. Step 6: Final answer
    x = 6,716,123.18

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Why These Related Problems?

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