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Finding the Third Proportional to 541,938 and 1,279,419

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Solution

The third proportional to 541,938 and 1,279,419 is: 3,020,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,938 : 1,279,419 = 1,279,419 : x
  2. Step 2: Convert to fraction form
    541,938/1,279,419 = 1,279,419/x
  3. Step 3: Cross multiply
    541,938x = 1,279,419 × 1,279,419
  4. Step 4: Simplify right side
    541,938x = 1,636,912,977,561
  5. Step 5: Solve for x
    x = 1,636,912,977,561/541,938
  6. Step 6: Final answer
    x = 3,020,480.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.