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Finding the Third Proportional to 1,387,422,704 and 1,994,213,400

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Solution

The third proportional to 1,387,422,704 and 1,994,213,400 is: 2,866,384,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,422,704 : 1,994,213,400 = 1,994,213,400 : x
  2. Step 2: Convert to fraction form
    1,387,422,704/1,994,213,400 = 1,994,213,400/x
  3. Step 3: Cross multiply
    1,387,422,704x = 1,994,213,400 × 1,994,213,400
  4. Step 4: Simplify right side
    1,387,422,704x = 3,976,887,084,739,559,936
  5. Step 5: Solve for x
    x = 3,976,887,084,739,559,936/1,387,422,704
  6. Step 6: Final answer
    x = 2,866,384,608.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.