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Finding the Third Proportional to 1,997,907 and 3,177,724.50

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Solution

The third proportional to 1,997,907 and 3,177,724.50 is: 5,054,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,907 : 3,177,724.50 = 3,177,724.50 : x
  2. Step 2: Convert to fraction form
    1,997,907/3,177,724.50 = 3,177,724.50/x
  3. Step 3: Cross multiply
    1,997,907x = 3,177,724.50 × 3,177,724.50
  4. Step 4: Simplify right side
    1,997,907x = 10,097,932,997,900.25
  5. Step 5: Solve for x
    x = 10,097,932,997,900.25/1,997,907
  6. Step 6: Final answer
    x = 5,054,255.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.