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Finding the Third Proportional to 452,244 and 993,264

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Solution

The third proportional to 452,244 and 993,264 is: 2,181,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,244 : 993,264 = 993,264 : x
  2. Step 2: Convert to fraction form
    452,244/993,264 = 993,264/x
  3. Step 3: Cross multiply
    452,244x = 993,264 × 993,264
  4. Step 4: Simplify right side
    452,244x = 986,573,373,696
  5. Step 5: Solve for x
    x = 986,573,373,696/452,244
  6. Step 6: Final answer
    x = 2,181,506.83

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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.