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Finding the Third Proportional to 1,381,701.75 and 3,257,010

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Solution

The third proportional to 1,381,701.75 and 3,257,010 is: 7,677,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,701.75 : 3,257,010 = 3,257,010 : x
  2. Step 2: Convert to fraction form
    1,381,701.75/3,257,010 = 3,257,010/x
  3. Step 3: Cross multiply
    1,381,701.75x = 3,257,010 × 3,257,010
  4. Step 4: Simplify right side
    1,381,701.75x = 10,608,114,140,100
  5. Step 5: Solve for x
    x = 10,608,114,140,100/1,381,701.75
  6. Step 6: Final answer
    x = 7,677,571.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.