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Finding the Third Proportional to 443,097 and 966,393

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Solution

The third proportional to 443,097 and 966,393 is: 2,107,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,097 : 966,393 = 966,393 : x
  2. Step 2: Convert to fraction form
    443,097/966,393 = 966,393/x
  3. Step 3: Cross multiply
    443,097x = 966,393 × 966,393
  4. Step 4: Simplify right side
    443,097x = 933,915,430,449
  5. Step 5: Solve for x
    x = 933,915,430,449/443,097
  6. Step 6: Final answer
    x = 2,107,699.74

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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.