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Finding the Third Proportional to 923,424 and 1,387,812

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Solution

The third proportional to 923,424 and 1,387,812 is: 2,085,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,424 : 1,387,812 = 1,387,812 : x
  2. Step 2: Convert to fraction form
    923,424/1,387,812 = 1,387,812/x
  3. Step 3: Cross multiply
    923,424x = 1,387,812 × 1,387,812
  4. Step 4: Simplify right side
    923,424x = 1,926,022,147,344
  5. Step 5: Solve for x
    x = 1,926,022,147,344/923,424
  6. Step 6: Final answer
    x = 2,085,739.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.