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Finding the Third Proportional to 443,880 and 970,593

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Solution

The third proportional to 443,880 and 970,593 is: 2,122,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,880 : 970,593 = 970,593 : x
  2. Step 2: Convert to fraction form
    443,880/970,593 = 970,593/x
  3. Step 3: Cross multiply
    443,880x = 970,593 × 970,593
  4. Step 4: Simplify right side
    443,880x = 942,050,771,649
  5. Step 5: Solve for x
    x = 942,050,771,649/443,880
  6. Step 6: Final answer
    x = 2,122,309.57

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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.