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Finding the Third Proportional to 435,676 and 955,195

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Solution

The third proportional to 435,676 and 955,195 is: 2,094,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,676 : 955,195 = 955,195 : x
  2. Step 2: Convert to fraction form
    435,676/955,195 = 955,195/x
  3. Step 3: Cross multiply
    435,676x = 955,195 × 955,195
  4. Step 4: Simplify right side
    435,676x = 912,397,488,025
  5. Step 5: Solve for x
    x = 912,397,488,025/435,676
  6. Step 6: Final answer
    x = 2,094,211.04

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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.