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Finding the Third Proportional to 674,561 and 1,436,515

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Solution

The third proportional to 674,561 and 1,436,515 is: 3,059,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,561 : 1,436,515 = 1,436,515 : x
  2. Step 2: Convert to fraction form
    674,561/1,436,515 = 1,436,515/x
  3. Step 3: Cross multiply
    674,561x = 1,436,515 × 1,436,515
  4. Step 4: Simplify right side
    674,561x = 2,063,575,345,225
  5. Step 5: Solve for x
    x = 2,063,575,345,225/674,561
  6. Step 6: Final answer
    x = 3,059,138.23

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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.