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Finding the Third Proportional to 443,082 and 949,164

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Solution

The third proportional to 443,082 and 949,164 is: 2,033,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,082 : 949,164 = 949,164 : x
  2. Step 2: Convert to fraction form
    443,082/949,164 = 949,164/x
  3. Step 3: Cross multiply
    443,082x = 949,164 × 949,164
  4. Step 4: Simplify right side
    443,082x = 900,912,298,896
  5. Step 5: Solve for x
    x = 900,912,298,896/443,082
  6. Step 6: Final answer
    x = 2,033,285.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.