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Finding the Third Proportional to 852,992 and 1,810,944

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Solution

The third proportional to 852,992 and 1,810,944 is: 3,844,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,992 : 1,810,944 = 1,810,944 : x
  2. Step 2: Convert to fraction form
    852,992/1,810,944 = 1,810,944/x
  3. Step 3: Cross multiply
    852,992x = 1,810,944 × 1,810,944
  4. Step 4: Simplify right side
    852,992x = 3,279,518,171,136
  5. Step 5: Solve for x
    x = 3,279,518,171,136/852,992
  6. Step 6: Final answer
    x = 3,844,723.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.