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Finding the Third Proportional to 827,824 and 1,690,640

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Solution

The third proportional to 827,824 and 1,690,640 is: 3,452,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,824 : 1,690,640 = 1,690,640 : x
  2. Step 2: Convert to fraction form
    827,824/1,690,640 = 1,690,640/x
  3. Step 3: Cross multiply
    827,824x = 1,690,640 × 1,690,640
  4. Step 4: Simplify right side
    827,824x = 2,858,263,609,600
  5. Step 5: Solve for x
    x = 2,858,263,609,600/827,824
  6. Step 6: Final answer
    x = 3,452,743.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.