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Finding the Third Proportional to 1,164,539 and 2,544,977

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Solution

The third proportional to 1,164,539 and 2,544,977 is: 5,561,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,539 : 2,544,977 = 2,544,977 : x
  2. Step 2: Convert to fraction form
    1,164,539/2,544,977 = 2,544,977/x
  3. Step 3: Cross multiply
    1,164,539x = 2,544,977 × 2,544,977
  4. Step 4: Simplify right side
    1,164,539x = 6,476,907,930,529
  5. Step 5: Solve for x
    x = 6,476,907,930,529/1,164,539
  6. Step 6: Final answer
    x = 5,561,778.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.