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Finding the Third Proportional to 459,018 and 994,296

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Solution

The third proportional to 459,018 and 994,296 is: 2,153,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,018 : 994,296 = 994,296 : x
  2. Step 2: Convert to fraction form
    459,018/994,296 = 994,296/x
  3. Step 3: Cross multiply
    459,018x = 994,296 × 994,296
  4. Step 4: Simplify right side
    459,018x = 988,624,535,616
  5. Step 5: Solve for x
    x = 988,624,535,616/459,018
  6. Step 6: Final answer
    x = 2,153,781.63

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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.