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Finding the Third Proportional to 459,022 and 994,304

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Solution

The third proportional to 459,022 and 994,304 is: 2,153,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,022 : 994,304 = 994,304 : x
  2. Step 2: Convert to fraction form
    459,022/994,304 = 994,304/x
  3. Step 3: Cross multiply
    459,022x = 994,304 × 994,304
  4. Step 4: Simplify right side
    459,022x = 988,640,444,416
  5. Step 5: Solve for x
    x = 988,640,444,416/459,022
  6. Step 6: Final answer
    x = 2,153,797.52

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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.