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Finding the Third Proportional to 445,848 and 962,764

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Solution

The third proportional to 445,848 and 962,764 is: 2,078,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,848 : 962,764 = 962,764 : x
  2. Step 2: Convert to fraction form
    445,848/962,764 = 962,764/x
  3. Step 3: Cross multiply
    445,848x = 962,764 × 962,764
  4. Step 4: Simplify right side
    445,848x = 926,914,519,696
  5. Step 5: Solve for x
    x = 926,914,519,696/445,848
  6. Step 6: Final answer
    x = 2,078,992.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.