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Finding the Third Proportional to 459,080 and 994,392

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Solution

The third proportional to 459,080 and 994,392 is: 2,153,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,080 : 994,392 = 994,392 : x
  2. Step 2: Convert to fraction form
    459,080/994,392 = 994,392/x
  3. Step 3: Cross multiply
    459,080x = 994,392 × 994,392
  4. Step 4: Simplify right side
    459,080x = 988,815,449,664
  5. Step 5: Solve for x
    x = 988,815,449,664/459,080
  6. Step 6: Final answer
    x = 2,153,906.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.