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Finding the Third Proportional to 1,135,606.08 and 1,745,507.60

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Solution

The third proportional to 1,135,606.08 and 1,745,507.60 is: 2,682,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,606.08 : 1,745,507.60 = 1,745,507.60 : x
  2. Step 2: Convert to fraction form
    1,135,606.08/1,745,507.60 = 1,745,507.60/x
  3. Step 3: Cross multiply
    1,135,606.08x = 1,745,507.60 × 1,745,507.60
  4. Step 4: Simplify right side
    1,135,606.08x = 3,046,796,787,112.47
  5. Step 5: Solve for x
    x = 3,046,796,787,112.47/1,135,606.08
  6. Step 6: Final answer
    x = 2,682,969.78

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Why These Related Problems?

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