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Finding the Third Proportional to 443,007.56 and 966,195.84

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Solution

The third proportional to 443,007.56 and 966,195.84 is: 2,107,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,007.56 : 966,195.84 = 966,195.84 : x
  2. Step 2: Convert to fraction form
    443,007.56/966,195.84 = 966,195.84/x
  3. Step 3: Cross multiply
    443,007.56x = 966,195.84 × 966,195.84
  4. Step 4: Simplify right side
    443,007.56x = 933,534,408,479.77
  5. Step 5: Solve for x
    x = 933,534,408,479.77/443,007.56
  6. Step 6: Final answer
    x = 2,107,265.17

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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.