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Finding the Third Proportional to 945,936 and 2,101,824

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Solution

The third proportional to 945,936 and 2,101,824 is: 4,670,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,936 : 2,101,824 = 2,101,824 : x
  2. Step 2: Convert to fraction form
    945,936/2,101,824 = 2,101,824/x
  3. Step 3: Cross multiply
    945,936x = 2,101,824 × 2,101,824
  4. Step 4: Simplify right side
    945,936x = 4,417,664,126,976
  5. Step 5: Solve for x
    x = 4,417,664,126,976/945,936
  6. Step 6: Final answer
    x = 4,670,151.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.