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Finding the Third Proportional to 443,980 and 962,804

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Solution

The third proportional to 443,980 and 962,804 is: 2,087,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,980 : 962,804 = 962,804 : x
  2. Step 2: Convert to fraction form
    443,980/962,804 = 962,804/x
  3. Step 3: Cross multiply
    443,980x = 962,804 × 962,804
  4. Step 4: Simplify right side
    443,980x = 926,991,542,416
  5. Step 5: Solve for x
    x = 926,991,542,416/443,980
  6. Step 6: Final answer
    x = 2,087,912.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.