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Finding the Third Proportional to 2,089,775 and 4,268,117

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Solution

The third proportional to 2,089,775 and 4,268,117 is: 8,717,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,775 : 4,268,117 = 4,268,117 : x
  2. Step 2: Convert to fraction form
    2,089,775/4,268,117 = 4,268,117/x
  3. Step 3: Cross multiply
    2,089,775x = 4,268,117 × 4,268,117
  4. Step 4: Simplify right side
    2,089,775x = 18,216,822,725,689
  5. Step 5: Solve for x
    x = 18,216,822,725,689/2,089,775
  6. Step 6: Final answer
    x = 8,717,121.57

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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.