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Finding the Third Proportional to 651,096 and 1,451,592

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Solution

The third proportional to 651,096 and 1,451,592 is: 3,236,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,096 : 1,451,592 = 1,451,592 : x
  2. Step 2: Convert to fraction form
    651,096/1,451,592 = 1,451,592/x
  3. Step 3: Cross multiply
    651,096x = 1,451,592 × 1,451,592
  4. Step 4: Simplify right side
    651,096x = 2,107,119,334,464
  5. Step 5: Solve for x
    x = 2,107,119,334,464/651,096
  6. Step 6: Final answer
    x = 3,236,265.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.