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Finding the Third Proportional to 3,090,980 and 4,728,257

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Solution

The third proportional to 3,090,980 and 4,728,257 is: 7,232,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090,980 : 4,728,257 = 4,728,257 : x
  2. Step 2: Convert to fraction form
    3,090,980/4,728,257 = 4,728,257/x
  3. Step 3: Cross multiply
    3,090,980x = 4,728,257 × 4,728,257
  4. Step 4: Simplify right side
    3,090,980x = 22,356,414,258,049
  5. Step 5: Solve for x
    x = 22,356,414,258,049/3,090,980
  6. Step 6: Final answer
    x = 7,232,791.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.