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Finding the Third Proportional to 443,092 and 966,384

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Solution

The third proportional to 443,092 and 966,384 is: 2,107,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,092 : 966,384 = 966,384 : x
  2. Step 2: Convert to fraction form
    443,092/966,384 = 966,384/x
  3. Step 3: Cross multiply
    443,092x = 966,384 × 966,384
  4. Step 4: Simplify right side
    443,092x = 933,898,035,456
  5. Step 5: Solve for x
    x = 933,898,035,456/443,092
  6. Step 6: Final answer
    x = 2,107,684.26

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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.