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Finding the Third Proportional to 600,040,400 and 901,658,208

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Solution

The third proportional to 600,040,400 and 901,658,208 is: 1,354,887,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,040,400 : 901,658,208 = 901,658,208 : x
  2. Step 2: Convert to fraction form
    600,040,400/901,658,208 = 901,658,208/x
  3. Step 3: Cross multiply
    600,040,400x = 901,658,208 × 901,658,208
  4. Step 4: Simplify right side
    600,040,400x = 812,987,524,053,771,264
  5. Step 5: Solve for x
    x = 812,987,524,053,771,264/600,040,400
  6. Step 6: Final answer
    x = 1,354,887,977.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.