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Finding the Third Proportional to 1,691,629.50 and 3,947,271

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Solution

The third proportional to 1,691,629.50 and 3,947,271 is: 9,210,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,629.50 : 3,947,271 = 3,947,271 : x
  2. Step 2: Convert to fraction form
    1,691,629.50/3,947,271 = 3,947,271/x
  3. Step 3: Cross multiply
    1,691,629.50x = 3,947,271 × 3,947,271
  4. Step 4: Simplify right side
    1,691,629.50x = 15,580,948,347,441
  5. Step 5: Solve for x
    x = 15,580,948,347,441/1,691,629.50
  6. Step 6: Final answer
    x = 9,210,615.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.