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Finding the Third Proportional to 459,794 and 694,119

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Solution

The third proportional to 459,794 and 694,119 is: 1,047,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,794 : 694,119 = 694,119 : x
  2. Step 2: Convert to fraction form
    459,794/694,119 = 694,119/x
  3. Step 3: Cross multiply
    459,794x = 694,119 × 694,119
  4. Step 4: Simplify right side
    459,794x = 481,801,186,161
  5. Step 5: Solve for x
    x = 481,801,186,161/459,794
  6. Step 6: Final answer
    x = 1,047,863.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.