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Finding the Third Proportional to 455,223 and 994,524

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Solution

The third proportional to 455,223 and 994,524 is: 2,172,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,223 : 994,524 = 994,524 : x
  2. Step 2: Convert to fraction form
    455,223/994,524 = 994,524/x
  3. Step 3: Cross multiply
    455,223x = 994,524 × 994,524
  4. Step 4: Simplify right side
    455,223x = 989,077,986,576
  5. Step 5: Solve for x
    x = 989,077,986,576/455,223
  6. Step 6: Final answer
    x = 2,172,732.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.