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Finding the Third Proportional to 505,009,824 and 1,086,722,112

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Solution

The third proportional to 505,009,824 and 1,086,722,112 is: 2,338,498,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,009,824 : 1,086,722,112 = 1,086,722,112 : x
  2. Step 2: Convert to fraction form
    505,009,824/1,086,722,112 = 1,086,722,112/x
  3. Step 3: Cross multiply
    505,009,824x = 1,086,722,112 × 1,086,722,112
  4. Step 4: Simplify right side
    505,009,824x = 1,180,964,948,709,740,544
  5. Step 5: Solve for x
    x = 1,180,964,948,709,740,544/505,009,824
  6. Step 6: Final answer
    x = 2,338,498,960.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.