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Finding the Third Proportional to 827,694 and 1,265,607

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Solution

The third proportional to 827,694 and 1,265,607 is: 1,935,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,694 : 1,265,607 = 1,265,607 : x
  2. Step 2: Convert to fraction form
    827,694/1,265,607 = 1,265,607/x
  3. Step 3: Cross multiply
    827,694x = 1,265,607 × 1,265,607
  4. Step 4: Simplify right side
    827,694x = 1,601,761,078,449
  5. Step 5: Solve for x
    x = 1,601,761,078,449/827,694
  6. Step 6: Final answer
    x = 1,935,209.24

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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.