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Finding the Third Proportional to 443,100 and 966,402

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Solution

The third proportional to 443,100 and 966,402 is: 2,107,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,100 : 966,402 = 966,402 : x
  2. Step 2: Convert to fraction form
    443,100/966,402 = 966,402/x
  3. Step 3: Cross multiply
    443,100x = 966,402 × 966,402
  4. Step 4: Simplify right side
    443,100x = 933,932,825,604
  5. Step 5: Solve for x
    x = 933,932,825,604/443,100
  6. Step 6: Final answer
    x = 2,107,724.72

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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.