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Finding the Third Proportional to 505,869.75 and 1,083,853.69

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Solution

The third proportional to 505,869.75 and 1,083,853.69 is: 2,322,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,869.75 : 1,083,853.69 = 1,083,853.69 : x
  2. Step 2: Convert to fraction form
    505,869.75/1,083,853.69 = 1,083,853.69/x
  3. Step 3: Cross multiply
    505,869.75x = 1,083,853.69 × 1,083,853.69
  4. Step 4: Simplify right side
    505,869.75x = 1,174,738,815,907.35
  5. Step 5: Solve for x
    x = 1,174,738,815,907.35/505,869.75
  6. Step 6: Final answer
    x = 2,322,215.98

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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.