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Finding the Third Proportional to 443,741 and 970,426

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Solution

The third proportional to 443,741 and 970,426 is: 2,122,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,741 : 970,426 = 970,426 : x
  2. Step 2: Convert to fraction form
    443,741/970,426 = 970,426/x
  3. Step 3: Cross multiply
    443,741x = 970,426 × 970,426
  4. Step 4: Simplify right side
    443,741x = 941,726,621,476
  5. Step 5: Solve for x
    x = 941,726,621,476/443,741
  6. Step 6: Final answer
    x = 2,122,243.88

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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.