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Finding the Third Proportional to 674,566 and 1,436,524

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Solution

The third proportional to 674,566 and 1,436,524 is: 3,059,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,566 : 1,436,524 = 1,436,524 : x
  2. Step 2: Convert to fraction form
    674,566/1,436,524 = 1,436,524/x
  3. Step 3: Cross multiply
    674,566x = 1,436,524 × 1,436,524
  4. Step 4: Simplify right side
    674,566x = 2,063,601,202,576
  5. Step 5: Solve for x
    x = 2,063,601,202,576/674,566
  6. Step 6: Final answer
    x = 3,059,153.89

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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.