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Finding the Third Proportional to 453,676 and 994,184

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Solution

The third proportional to 453,676 and 994,184 is: 2,178,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,676 : 994,184 = 994,184 : x
  2. Step 2: Convert to fraction form
    453,676/994,184 = 994,184/x
  3. Step 3: Cross multiply
    453,676x = 994,184 × 994,184
  4. Step 4: Simplify right side
    453,676x = 988,401,825,856
  5. Step 5: Solve for x
    x = 988,401,825,856/453,676
  6. Step 6: Final answer
    x = 2,178,651.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.