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Finding the Third Proportional to 452,044 and 994,486

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Solution

The third proportional to 452,044 and 994,486 is: 2,187,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,044 : 994,486 = 994,486 : x
  2. Step 2: Convert to fraction form
    452,044/994,486 = 994,486/x
  3. Step 3: Cross multiply
    452,044x = 994,486 × 994,486
  4. Step 4: Simplify right side
    452,044x = 989,002,404,196
  5. Step 5: Solve for x
    x = 989,002,404,196/452,044
  6. Step 6: Final answer
    x = 2,187,845.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.