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Finding the Third Proportional to 658,512 and 1,436,676

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Solution

The third proportional to 658,512 and 1,436,676 is: 3,134,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,512 : 1,436,676 = 1,436,676 : x
  2. Step 2: Convert to fraction form
    658,512/1,436,676 = 1,436,676/x
  3. Step 3: Cross multiply
    658,512x = 1,436,676 × 1,436,676
  4. Step 4: Simplify right side
    658,512x = 2,064,037,928,976
  5. Step 5: Solve for x
    x = 2,064,037,928,976/658,512
  6. Step 6: Final answer
    x = 3,134,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.