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Finding the Third Proportional to 505,045.44 and 1,090,206.44

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Solution

The third proportional to 505,045.44 and 1,090,206.44 is: 2,353,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,045.44 : 1,090,206.44 = 1,090,206.44 : x
  2. Step 2: Convert to fraction form
    505,045.44/1,090,206.44 = 1,090,206.44/x
  3. Step 3: Cross multiply
    505,045.44x = 1,090,206.44 × 1,090,206.44
  4. Step 4: Simplify right side
    505,045.44x = 1,188,550,076,366.44
  5. Step 5: Solve for x
    x = 1,188,550,076,366.44/505,045.44
  6. Step 6: Final answer
    x = 2,353,352.76

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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.