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Finding the Third Proportional to 443,676 and 971,314

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Solution

The third proportional to 443,676 and 971,314 is: 2,126,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,676 : 971,314 = 971,314 : x
  2. Step 2: Convert to fraction form
    443,676/971,314 = 971,314/x
  3. Step 3: Cross multiply
    443,676x = 971,314 × 971,314
  4. Step 4: Simplify right side
    443,676x = 943,450,886,596
  5. Step 5: Solve for x
    x = 943,450,886,596/443,676
  6. Step 6: Final answer
    x = 2,126,441.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.