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Finding the Third Proportional to 505,811 and 1,083,766

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Solution

The third proportional to 505,811 and 1,083,766 is: 2,322,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,811 : 1,083,766 = 1,083,766 : x
  2. Step 2: Convert to fraction form
    505,811/1,083,766 = 1,083,766/x
  3. Step 3: Cross multiply
    505,811x = 1,083,766 × 1,083,766
  4. Step 4: Simplify right side
    505,811x = 1,174,548,742,756
  5. Step 5: Solve for x
    x = 1,174,548,742,756/505,811
  6. Step 6: Final answer
    x = 2,322,109.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.