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Finding the Third Proportional to 445,863 and 964,446

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Solution

The third proportional to 445,863 and 964,446 is: 2,086,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,863 : 964,446 = 964,446 : x
  2. Step 2: Convert to fraction form
    445,863/964,446 = 964,446/x
  3. Step 3: Cross multiply
    445,863x = 964,446 × 964,446
  4. Step 4: Simplify right side
    445,863x = 930,156,086,916
  5. Step 5: Solve for x
    x = 930,156,086,916/445,863
  6. Step 6: Final answer
    x = 2,086,192.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.