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Finding the Third Proportional to 827,485 and 1,265,296

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Solution

The third proportional to 827,485 and 1,265,296 is: 1,934,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,485 : 1,265,296 = 1,265,296 : x
  2. Step 2: Convert to fraction form
    827,485/1,265,296 = 1,265,296/x
  3. Step 3: Cross multiply
    827,485x = 1,265,296 × 1,265,296
  4. Step 4: Simplify right side
    827,485x = 1,600,973,967,616
  5. Step 5: Solve for x
    x = 1,600,973,967,616/827,485
  6. Step 6: Final answer
    x = 1,934,746.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.