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Finding the Third Proportional to 443,814 and 970,491

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Solution

The third proportional to 443,814 and 970,491 is: 2,122,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,814 : 970,491 = 970,491 : x
  2. Step 2: Convert to fraction form
    443,814/970,491 = 970,491/x
  3. Step 3: Cross multiply
    443,814x = 970,491 × 970,491
  4. Step 4: Simplify right side
    443,814x = 941,852,781,081
  5. Step 5: Solve for x
    x = 941,852,781,081/443,814
  6. Step 6: Final answer
    x = 2,122,179.07

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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.