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Finding the Third Proportional to 1,928,504.25 and 4,147,240.50

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Solution

The third proportional to 1,928,504.25 and 4,147,240.50 is: 8,918,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,504.25 : 4,147,240.50 = 4,147,240.50 : x
  2. Step 2: Convert to fraction form
    1,928,504.25/4,147,240.50 = 4,147,240.50/x
  3. Step 3: Cross multiply
    1,928,504.25x = 4,147,240.50 × 4,147,240.50
  4. Step 4: Simplify right side
    1,928,504.25x = 17,199,603,764,840.25
  5. Step 5: Solve for x
    x = 17,199,603,764,840.25/1,928,504.25
  6. Step 6: Final answer
    x = 8,918,623.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.