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Finding the Third Proportional to 829,138 and 1,757,917

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Solution

The third proportional to 829,138 and 1,757,917 is: 3,727,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,138 : 1,757,917 = 1,757,917 : x
  2. Step 2: Convert to fraction form
    829,138/1,757,917 = 1,757,917/x
  3. Step 3: Cross multiply
    829,138x = 1,757,917 × 1,757,917
  4. Step 4: Simplify right side
    829,138x = 3,090,272,178,889
  5. Step 5: Solve for x
    x = 3,090,272,178,889/829,138
  6. Step 6: Final answer
    x = 3,727,090.28

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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.