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Finding the Third Proportional to 443,825 and 970,684

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Solution

The third proportional to 443,825 and 970,684 is: 2,122,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,825 : 970,684 = 970,684 : x
  2. Step 2: Convert to fraction form
    443,825/970,684 = 970,684/x
  3. Step 3: Cross multiply
    443,825x = 970,684 × 970,684
  4. Step 4: Simplify right side
    443,825x = 942,227,427,856
  5. Step 5: Solve for x
    x = 942,227,427,856/443,825
  6. Step 6: Final answer
    x = 2,122,970.60

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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.