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Finding the Third Proportional to 451,242 and 962,532

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Solution

The third proportional to 451,242 and 962,532 is: 2,053,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,242 : 962,532 = 962,532 : x
  2. Step 2: Convert to fraction form
    451,242/962,532 = 962,532/x
  3. Step 3: Cross multiply
    451,242x = 962,532 × 962,532
  4. Step 4: Simplify right side
    451,242x = 926,467,851,024
  5. Step 5: Solve for x
    x = 926,467,851,024/451,242
  6. Step 6: Final answer
    x = 2,053,150.75

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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.