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Finding the Third Proportional to 443,100 and 966,399

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Solution

The third proportional to 443,100 and 966,399 is: 2,107,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,100 : 966,399 = 966,399 : x
  2. Step 2: Convert to fraction form
    443,100/966,399 = 966,399/x
  3. Step 3: Cross multiply
    443,100x = 966,399 × 966,399
  4. Step 4: Simplify right side
    443,100x = 933,927,027,201
  5. Step 5: Solve for x
    x = 933,927,027,201/443,100
  6. Step 6: Final answer
    x = 2,107,711.64

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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.