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Finding the Third Proportional to 3,461,686 and 5,373,968

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Solution

The third proportional to 3,461,686 and 5,373,968 is: 8,342,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,686 : 5,373,968 = 5,373,968 : x
  2. Step 2: Convert to fraction form
    3,461,686/5,373,968 = 5,373,968/x
  3. Step 3: Cross multiply
    3,461,686x = 5,373,968 × 5,373,968
  4. Step 4: Simplify right side
    3,461,686x = 28,879,532,065,024
  5. Step 5: Solve for x
    x = 28,879,532,065,024/3,461,686
  6. Step 6: Final answer
    x = 8,342,620.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.