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Finding the Third Proportional to 443,877 and 970,586

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Solution

The third proportional to 443,877 and 970,586 is: 2,122,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,877 : 970,586 = 970,586 : x
  2. Step 2: Convert to fraction form
    443,877/970,586 = 970,586/x
  3. Step 3: Cross multiply
    443,877x = 970,586 × 970,586
  4. Step 4: Simplify right side
    443,877x = 942,037,183,396
  5. Step 5: Solve for x
    x = 942,037,183,396/443,877
  6. Step 6: Final answer
    x = 2,122,293.30

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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.