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Finding the Third Proportional to 955,728 and 2,085,324

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Solution

The third proportional to 955,728 and 2,085,324 is: 4,550,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    955,728 : 2,085,324 = 2,085,324 : x
  2. Step 2: Convert to fraction form
    955,728/2,085,324 = 2,085,324/x
  3. Step 3: Cross multiply
    955,728x = 2,085,324 × 2,085,324
  4. Step 4: Simplify right side
    955,728x = 4,348,576,184,976
  5. Step 5: Solve for x
    x = 4,348,576,184,976/955,728
  6. Step 6: Final answer
    x = 4,550,014.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.