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Finding the Third Proportional to 443,844 and 970,722

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Solution

The third proportional to 443,844 and 970,722 is: 2,123,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,844 : 970,722 = 970,722 : x
  2. Step 2: Convert to fraction form
    443,844/970,722 = 970,722/x
  3. Step 3: Cross multiply
    443,844x = 970,722 × 970,722
  4. Step 4: Simplify right side
    443,844x = 942,301,201,284
  5. Step 5: Solve for x
    x = 942,301,201,284/443,844
  6. Step 6: Final answer
    x = 2,123,045.94

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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.