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Finding the Third Proportional to 674,562 and 1,436,517

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Solution

The third proportional to 674,562 and 1,436,517 is: 3,059,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,562 : 1,436,517 = 1,436,517 : x
  2. Step 2: Convert to fraction form
    674,562/1,436,517 = 1,436,517/x
  3. Step 3: Cross multiply
    674,562x = 1,436,517 × 1,436,517
  4. Step 4: Simplify right side
    674,562x = 2,063,581,091,289
  5. Step 5: Solve for x
    x = 2,063,581,091,289/674,562
  6. Step 6: Final answer
    x = 3,059,142.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.