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Finding the Third Proportional to 443,859 and 970,773

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Solution

The third proportional to 443,859 and 970,773 is: 2,123,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,859 : 970,773 = 970,773 : x
  2. Step 2: Convert to fraction form
    443,859/970,773 = 970,773/x
  3. Step 3: Cross multiply
    443,859x = 970,773 × 970,773
  4. Step 4: Simplify right side
    443,859x = 942,400,217,529
  5. Step 5: Solve for x
    x = 942,400,217,529/443,859
  6. Step 6: Final answer
    x = 2,123,197.27

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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.