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Finding the Third Proportional to 443,873 and 970,578

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Solution

The third proportional to 443,873 and 970,578 is: 2,122,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,873 : 970,578 = 970,578 : x
  2. Step 2: Convert to fraction form
    443,873/970,578 = 970,578/x
  3. Step 3: Cross multiply
    443,873x = 970,578 × 970,578
  4. Step 4: Simplify right side
    443,873x = 942,021,654,084
  5. Step 5: Solve for x
    x = 942,021,654,084/443,873
  6. Step 6: Final answer
    x = 2,122,277.44

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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.