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Finding the Third Proportional to 443,011 and 966,205

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Solution

The third proportional to 443,011 and 966,205 is: 2,107,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,011 : 966,205 = 966,205 : x
  2. Step 2: Convert to fraction form
    443,011/966,205 = 966,205/x
  3. Step 3: Cross multiply
    443,011x = 966,205 × 966,205
  4. Step 4: Simplify right side
    443,011x = 933,552,102,025
  5. Step 5: Solve for x
    x = 933,552,102,025/443,011
  6. Step 6: Final answer
    x = 2,107,288.76

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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.