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Finding the Third Proportional to 829,137 and 1,757,916

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Solution

The third proportional to 829,137 and 1,757,916 is: 3,727,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,137 : 1,757,916 = 1,757,916 : x
  2. Step 2: Convert to fraction form
    829,137/1,757,916 = 1,757,916/x
  3. Step 3: Cross multiply
    829,137x = 1,757,916 × 1,757,916
  4. Step 4: Simplify right side
    829,137x = 3,090,268,663,056
  5. Step 5: Solve for x
    x = 3,090,268,663,056/829,137
  6. Step 6: Final answer
    x = 3,727,090.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.