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Finding the Third Proportional to 938,229 and 2,048,529

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Solution

The third proportional to 938,229 and 2,048,529 is: 4,472,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,229 : 2,048,529 = 2,048,529 : x
  2. Step 2: Convert to fraction form
    938,229/2,048,529 = 2,048,529/x
  3. Step 3: Cross multiply
    938,229x = 2,048,529 × 2,048,529
  4. Step 4: Simplify right side
    938,229x = 4,196,471,063,841
  5. Step 5: Solve for x
    x = 4,196,471,063,841/938,229
  6. Step 6: Final answer
    x = 4,472,757.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.