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Finding the Third Proportional to 1,263,198.75 and 1,941,647.63

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Solution

The third proportional to 1,263,198.75 and 1,941,647.63 is: 2,984,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,198.75 : 1,941,647.63 = 1,941,647.63 : x
  2. Step 2: Convert to fraction form
    1,263,198.75/1,941,647.63 = 1,941,647.63/x
  3. Step 3: Cross multiply
    1,263,198.75x = 1,941,647.63 × 1,941,647.63
  4. Step 4: Simplify right side
    1,263,198.75x = 3,769,995,499,668.14
  5. Step 5: Solve for x
    x = 3,769,995,499,668.14/1,263,198.75
  6. Step 6: Final answer
    x = 2,984,483.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.