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Finding the Third Proportional to 443,136 and 966,472

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Solution

The third proportional to 443,136 and 966,472 is: 2,107,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,136 : 966,472 = 966,472 : x
  2. Step 2: Convert to fraction form
    443,136/966,472 = 966,472/x
  3. Step 3: Cross multiply
    443,136x = 966,472 × 966,472
  4. Step 4: Simplify right side
    443,136x = 934,068,126,784
  5. Step 5: Solve for x
    x = 934,068,126,784/443,136
  6. Step 6: Final answer
    x = 2,107,858.82

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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.