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Finding the Third Proportional to 3,090,906 and 4,728,147

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Solution

The third proportional to 3,090,906 and 4,728,147 is: 7,232,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090,906 : 4,728,147 = 4,728,147 : x
  2. Step 2: Convert to fraction form
    3,090,906/4,728,147 = 4,728,147/x
  3. Step 3: Cross multiply
    3,090,906x = 4,728,147 × 4,728,147
  4. Step 4: Simplify right side
    3,090,906x = 22,355,374,053,609
  5. Step 5: Solve for x
    x = 22,355,374,053,609/3,090,906
  6. Step 6: Final answer
    x = 7,232,628.25

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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.