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Finding the Third Proportional to 2,782,357 and 4,425,989

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Solution

The third proportional to 2,782,357 and 4,425,989 is: 7,040,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,357 : 4,425,989 = 4,425,989 : x
  2. Step 2: Convert to fraction form
    2,782,357/4,425,989 = 4,425,989/x
  3. Step 3: Cross multiply
    2,782,357x = 4,425,989 × 4,425,989
  4. Step 4: Simplify right side
    2,782,357x = 19,589,378,628,121
  5. Step 5: Solve for x
    x = 19,589,378,628,121/2,782,357
  6. Step 6: Final answer
    x = 7,040,569.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.