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Finding the Third Proportional to 1,188,765 and 2,317,995

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Solution

The third proportional to 1,188,765 and 2,317,995 is: 4,519,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,765 : 2,317,995 = 2,317,995 : x
  2. Step 2: Convert to fraction form
    1,188,765/2,317,995 = 2,317,995/x
  3. Step 3: Cross multiply
    1,188,765x = 2,317,995 × 2,317,995
  4. Step 4: Simplify right side
    1,188,765x = 5,373,100,820,025
  5. Step 5: Solve for x
    x = 5,373,100,820,025/1,188,765
  6. Step 6: Final answer
    x = 4,519,901.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.