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Finding the Third Proportional to 424,635 and 928,029

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Solution

The third proportional to 424,635 and 928,029 is: 2,028,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,635 : 928,029 = 928,029 : x
  2. Step 2: Convert to fraction form
    424,635/928,029 = 928,029/x
  3. Step 3: Cross multiply
    424,635x = 928,029 × 928,029
  4. Step 4: Simplify right side
    424,635x = 861,237,824,841
  5. Step 5: Solve for x
    x = 861,237,824,841/424,635
  6. Step 6: Final answer
    x = 2,028,183.79

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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.