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Finding the Third Proportional to 505,047.66 and 1,090,214.44

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Solution

The third proportional to 505,047.66 and 1,090,214.44 is: 2,353,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,047.66 : 1,090,214.44 = 1,090,214.44 : x
  2. Step 2: Convert to fraction form
    505,047.66/1,090,214.44 = 1,090,214.44/x
  3. Step 3: Cross multiply
    505,047.66x = 1,090,214.44 × 1,090,214.44
  4. Step 4: Simplify right side
    505,047.66x = 1,188,567,519,733.44
  5. Step 5: Solve for x
    x = 1,188,567,519,733.44/505,047.66
  6. Step 6: Final answer
    x = 2,353,376.96

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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.