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Finding the Third Proportional to 618,076.13 and 1,283,523

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Solution

The third proportional to 618,076.13 and 1,283,523 is: 2,665,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,076.13 : 1,283,523 = 1,283,523 : x
  2. Step 2: Convert to fraction form
    618,076.13/1,283,523 = 1,283,523/x
  3. Step 3: Cross multiply
    618,076.13x = 1,283,523 × 1,283,523
  4. Step 4: Simplify right side
    618,076.13x = 1,647,431,291,529
  5. Step 5: Solve for x
    x = 1,647,431,291,529/618,076.13
  6. Step 6: Final answer
    x = 2,665,418.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.