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Finding the Third Proportional to 683,586 and 1,472,351

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Solution

The third proportional to 683,586 and 1,472,351 is: 3,171,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,586 : 1,472,351 = 1,472,351 : x
  2. Step 2: Convert to fraction form
    683,586/1,472,351 = 1,472,351/x
  3. Step 3: Cross multiply
    683,586x = 1,472,351 × 1,472,351
  4. Step 4: Simplify right side
    683,586x = 2,167,817,467,201
  5. Step 5: Solve for x
    x = 2,167,817,467,201/683,586
  6. Step 6: Final answer
    x = 3,171,243.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.