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Finding the Third Proportional to 1,020,768.75 and 2,200,995

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Solution

The third proportional to 1,020,768.75 and 2,200,995 is: 4,745,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,768.75 : 2,200,995 = 2,200,995 : x
  2. Step 2: Convert to fraction form
    1,020,768.75/2,200,995 = 2,200,995/x
  3. Step 3: Cross multiply
    1,020,768.75x = 2,200,995 × 2,200,995
  4. Step 4: Simplify right side
    1,020,768.75x = 4,844,378,990,025
  5. Step 5: Solve for x
    x = 4,844,378,990,025/1,020,768.75
  6. Step 6: Final answer
    x = 4,745,814.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.