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Finding the Third Proportional to 2,089,731 and 4,268,010

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Solution

The third proportional to 2,089,731 and 4,268,010 is: 8,716,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,731 : 4,268,010 = 4,268,010 : x
  2. Step 2: Convert to fraction form
    2,089,731/4,268,010 = 4,268,010/x
  3. Step 3: Cross multiply
    2,089,731x = 4,268,010 × 4,268,010
  4. Step 4: Simplify right side
    2,089,731x = 18,215,909,360,100
  5. Step 5: Solve for x
    x = 18,215,909,360,100/2,089,731
  6. Step 6: Final answer
    x = 8,716,868.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.