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Finding the Third Proportional to 189,922 and 443,701

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Solution

The third proportional to 189,922 and 443,701 is: 1,036,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,922 : 443,701 = 443,701 : x
  2. Step 2: Convert to fraction form
    189,922/443,701 = 443,701/x
  3. Step 3: Cross multiply
    189,922x = 443,701 × 443,701
  4. Step 4: Simplify right side
    189,922x = 196,870,577,401
  5. Step 5: Solve for x
    x = 196,870,577,401/189,922
  6. Step 6: Final answer
    x = 1,036,586.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.