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Finding the Third Proportional to 2,170,759.50 and 3,191,100

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Solution

The third proportional to 2,170,759.50 and 3,191,100 is: 4,691,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,759.50 : 3,191,100 = 3,191,100 : x
  2. Step 2: Convert to fraction form
    2,170,759.50/3,191,100 = 3,191,100/x
  3. Step 3: Cross multiply
    2,170,759.50x = 3,191,100 × 3,191,100
  4. Step 4: Simplify right side
    2,170,759.50x = 10,183,119,210,000
  5. Step 5: Solve for x
    x = 10,183,119,210,000/2,170,759.50
  6. Step 6: Final answer
    x = 4,691,039.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.