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Finding the Third Proportional to 389,994,120 and 793,608,444

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Solution

The third proportional to 389,994,120 and 793,608,444 is: 1,614,932,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,994,120 : 793,608,444 = 793,608,444 : x
  2. Step 2: Convert to fraction form
    389,994,120/793,608,444 = 793,608,444/x
  3. Step 3: Cross multiply
    389,994,120x = 793,608,444 × 793,608,444
  4. Step 4: Simplify right side
    389,994,120x = 629,814,362,388,101,120
  5. Step 5: Solve for x
    x = 629,814,362,388,101,120/389,994,120
  6. Step 6: Final answer
    x = 1,614,932,969.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.