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Finding the Third Proportional to 456,720 and 962,676

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Solution

The third proportional to 456,720 and 962,676 is: 2,029,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,720 : 962,676 = 962,676 : x
  2. Step 2: Convert to fraction form
    456,720/962,676 = 962,676/x
  3. Step 3: Cross multiply
    456,720x = 962,676 × 962,676
  4. Step 4: Simplify right side
    456,720x = 926,745,080,976
  5. Step 5: Solve for x
    x = 926,745,080,976/456,720
  6. Step 6: Final answer
    x = 2,029,131.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.