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Finding the Third Proportional to 1,955,144.81 and 4,089,049.88

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Solution

The third proportional to 1,955,144.81 and 4,089,049.88 is: 8,551,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955,144.81 : 4,089,049.88 = 4,089,049.88 : x
  2. Step 2: Convert to fraction form
    1,955,144.81/4,089,049.88 = 4,089,049.88/x
  3. Step 3: Cross multiply
    1,955,144.81x = 4,089,049.88 × 4,089,049.88
  4. Step 4: Simplify right side
    1,955,144.81x = 16,720,328,880,237.52
  5. Step 5: Solve for x
    x = 16,720,328,880,237.52/1,955,144.81
  6. Step 6: Final answer
    x = 8,551,964.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.