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Finding the Third Proportional to 3,143,288.25 and 4,805,147.25

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Solution

The third proportional to 3,143,288.25 and 4,805,147.25 is: 7,345,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,288.25 : 4,805,147.25 = 4,805,147.25 : x
  2. Step 2: Convert to fraction form
    3,143,288.25/4,805,147.25 = 4,805,147.25/x
  3. Step 3: Cross multiply
    3,143,288.25x = 4,805,147.25 × 4,805,147.25
  4. Step 4: Simplify right side
    3,143,288.25x = 23,089,440,094,182.56
  5. Step 5: Solve for x
    x = 23,089,440,094,182.56/3,143,288.25
  6. Step 6: Final answer
    x = 7,345,632.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.