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Finding the Third Proportional to 459,339 and 985,085

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Solution

The third proportional to 459,339 and 985,085 is: 2,112,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,339 : 985,085 = 985,085 : x
  2. Step 2: Convert to fraction form
    459,339/985,085 = 985,085/x
  3. Step 3: Cross multiply
    459,339x = 985,085 × 985,085
  4. Step 4: Simplify right side
    459,339x = 970,392,457,225
  5. Step 5: Solve for x
    x = 970,392,457,225/459,339
  6. Step 6: Final answer
    x = 2,112,584.51

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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.