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Finding the Third Proportional to 1,206,784 and 2,643,993

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Solution

The third proportional to 1,206,784 and 2,643,993 is: 5,792,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,784 : 2,643,993 = 2,643,993 : x
  2. Step 2: Convert to fraction form
    1,206,784/2,643,993 = 2,643,993/x
  3. Step 3: Cross multiply
    1,206,784x = 2,643,993 × 2,643,993
  4. Step 4: Simplify right side
    1,206,784x = 6,990,698,984,049
  5. Step 5: Solve for x
    x = 6,990,698,984,049/1,206,784
  6. Step 6: Final answer
    x = 5,792,833.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.