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Finding the Third Proportional to 451,232 and 962,512

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Solution

The third proportional to 451,232 and 962,512 is: 2,053,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,232 : 962,512 = 962,512 : x
  2. Step 2: Convert to fraction form
    451,232/962,512 = 962,512/x
  3. Step 3: Cross multiply
    451,232x = 962,512 × 962,512
  4. Step 4: Simplify right side
    451,232x = 926,429,350,144
  5. Step 5: Solve for x
    x = 926,429,350,144/451,232
  6. Step 6: Final answer
    x = 2,053,110.93

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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.