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Finding the Third Proportional to 849,845 and 1,825,992

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Solution

The third proportional to 849,845 and 1,825,992 is: 3,923,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,845 : 1,825,992 = 1,825,992 : x
  2. Step 2: Convert to fraction form
    849,845/1,825,992 = 1,825,992/x
  3. Step 3: Cross multiply
    849,845x = 1,825,992 × 1,825,992
  4. Step 4: Simplify right side
    849,845x = 3,334,246,784,064
  5. Step 5: Solve for x
    x = 3,334,246,784,064/849,845
  6. Step 6: Final answer
    x = 3,923,358.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.