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Finding the Third Proportional to 453,690 and 994,212

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Solution

The third proportional to 453,690 and 994,212 is: 2,178,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,690 : 994,212 = 994,212 : x
  2. Step 2: Convert to fraction form
    453,690/994,212 = 994,212/x
  3. Step 3: Cross multiply
    453,690x = 994,212 × 994,212
  4. Step 4: Simplify right side
    453,690x = 988,457,500,944
  5. Step 5: Solve for x
    x = 988,457,500,944/453,690
  6. Step 6: Final answer
    x = 2,178,706.83

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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.