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Finding the Third Proportional to 825,834 and 1,809,132

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Solution

The third proportional to 825,834 and 1,809,132 is: 3,963,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,834 : 1,809,132 = 1,809,132 : x
  2. Step 2: Convert to fraction form
    825,834/1,809,132 = 1,809,132/x
  3. Step 3: Cross multiply
    825,834x = 1,809,132 × 1,809,132
  4. Step 4: Simplify right side
    825,834x = 3,272,958,593,424
  5. Step 5: Solve for x
    x = 3,272,958,593,424/825,834
  6. Step 6: Final answer
    x = 3,963,216.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.