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Finding the Third Proportional to 1,082,129.63 and 2,327,059.13

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Solution

The third proportional to 1,082,129.63 and 2,327,059.13 is: 5,004,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,129.63 : 2,327,059.13 = 2,327,059.13 : x
  2. Step 2: Convert to fraction form
    1,082,129.63/2,327,059.13 = 2,327,059.13/x
  3. Step 3: Cross multiply
    1,082,129.63x = 2,327,059.13 × 2,327,059.13
  4. Step 4: Simplify right side
    1,082,129.63x = 5,415,204,171,245.77
  5. Step 5: Solve for x
    x = 5,415,204,171,245.77/1,082,129.63
  6. Step 6: Final answer
    x = 5,004,210.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.