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Finding the Third Proportional to 824,573 and 1,773,801

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Solution

The third proportional to 824,573 and 1,773,801 is: 3,815,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,573 : 1,773,801 = 1,773,801 : x
  2. Step 2: Convert to fraction form
    824,573/1,773,801 = 1,773,801/x
  3. Step 3: Cross multiply
    824,573x = 1,773,801 × 1,773,801
  4. Step 4: Simplify right side
    824,573x = 3,146,369,987,601
  5. Step 5: Solve for x
    x = 3,146,369,987,601/824,573
  6. Step 6: Final answer
    x = 3,815,756.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.