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Finding the Third Proportional to 443,819.25 and 970,673.63

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Solution

The third proportional to 443,819.25 and 970,673.63 is: 2,122,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,819.25 : 970,673.63 = 970,673.63 : x
  2. Step 2: Convert to fraction form
    443,819.25/970,673.63 = 970,673.63/x
  3. Step 3: Cross multiply
    443,819.25x = 970,673.63 × 970,673.63
  4. Step 4: Simplify right side
    443,819.25x = 942,207,286,270.64
  5. Step 5: Solve for x
    x = 942,207,286,270.64/443,819.25
  6. Step 6: Final answer
    x = 2,122,952.73

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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.