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Finding the Third Proportional to 879,269,296 and 1,360,223,556

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Solution

The third proportional to 879,269,296 and 1,360,223,556 is: 2,104,256,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,269,296 : 1,360,223,556 = 1,360,223,556 : x
  2. Step 2: Convert to fraction form
    879,269,296/1,360,223,556 = 1,360,223,556/x
  3. Step 3: Cross multiply
    879,269,296x = 1,360,223,556 × 1,360,223,556
  4. Step 4: Simplify right side
    879,269,296x = 1,850,208,122,297,285,120
  5. Step 5: Solve for x
    x = 1,850,208,122,297,285,120/879,269,296
  6. Step 6: Final answer
    x = 2,104,256,489.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.