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Finding the Third Proportional to 674,563 and 1,436,519

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Solution

The third proportional to 674,563 and 1,436,519 is: 3,059,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,563 : 1,436,519 = 1,436,519 : x
  2. Step 2: Convert to fraction form
    674,563/1,436,519 = 1,436,519/x
  3. Step 3: Cross multiply
    674,563x = 1,436,519 × 1,436,519
  4. Step 4: Simplify right side
    674,563x = 2,063,586,837,361
  5. Step 5: Solve for x
    x = 2,063,586,837,361/674,563
  6. Step 6: Final answer
    x = 3,059,146.20

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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.