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Finding the Third Proportional to 505,879,199.72 and 1,128,076,424.44

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Solution

The third proportional to 505,879,199.72 and 1,128,076,424.44 is: 2,515,534,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,879,199.72 : 1,128,076,424.44 = 1,128,076,424.44 : x
  2. Step 2: Convert to fraction form
    505,879,199.72/1,128,076,424.44 = 1,128,076,424.44/x
  3. Step 3: Cross multiply
    505,879,199.72x = 1,128,076,424.44 × 1,128,076,424.44
  4. Step 4: Simplify right side
    505,879,199.72x = 1,272,556,419,371,694,592
  5. Step 5: Solve for x
    x = 1,272,556,419,371,694,592/505,879,199.72
  6. Step 6: Final answer
    x = 2,515,534,183.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.