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Finding the Third Proportional to 505,620 and 1,083,205.13

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Solution

The third proportional to 505,620 and 1,083,205.13 is: 2,320,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,620 : 1,083,205.13 = 1,083,205.13 : x
  2. Step 2: Convert to fraction form
    505,620/1,083,205.13 = 1,083,205.13/x
  3. Step 3: Cross multiply
    505,620x = 1,083,205.13 × 1,083,205.13
  4. Step 4: Simplify right side
    505,620x = 1,173,333,342,826.27
  5. Step 5: Solve for x
    x = 1,173,333,342,826.27/505,620
  6. Step 6: Final answer
    x = 2,320,583.33

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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.