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Finding the Third Proportional to 2,434,914 and 3,784,995

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Solution

The third proportional to 2,434,914 and 3,784,995 is: 5,883,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,914 : 3,784,995 = 3,784,995 : x
  2. Step 2: Convert to fraction form
    2,434,914/3,784,995 = 3,784,995/x
  3. Step 3: Cross multiply
    2,434,914x = 3,784,995 × 3,784,995
  4. Step 4: Simplify right side
    2,434,914x = 14,326,187,150,025
  5. Step 5: Solve for x
    x = 14,326,187,150,025/2,434,914
  6. Step 6: Final answer
    x = 5,883,652.22

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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.