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Finding the Third Proportional to 2,541,805.50 and 3,872,265

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Solution

The third proportional to 2,541,805.50 and 3,872,265 is: 5,899,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541,805.50 : 3,872,265 = 3,872,265 : x
  2. Step 2: Convert to fraction form
    2,541,805.50/3,872,265 = 3,872,265/x
  3. Step 3: Cross multiply
    2,541,805.50x = 3,872,265 × 3,872,265
  4. Step 4: Simplify right side
    2,541,805.50x = 14,994,436,230,225
  5. Step 5: Solve for x
    x = 14,994,436,230,225/2,541,805.50
  6. Step 6: Final answer
    x = 5,899,128.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.