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Finding the Third Proportional to 3,230,072 and 6,794,944

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Solution

The third proportional to 3,230,072 and 6,794,944 is: 14,294,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,072 : 6,794,944 = 6,794,944 : x
  2. Step 2: Convert to fraction form
    3,230,072/6,794,944 = 6,794,944/x
  3. Step 3: Cross multiply
    3,230,072x = 6,794,944 × 6,794,944
  4. Step 4: Simplify right side
    3,230,072x = 46,171,263,963,136
  5. Step 5: Solve for x
    x = 46,171,263,963,136/3,230,072
  6. Step 6: Final answer
    x = 14,294,190.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.