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Finding the Third Proportional to 584,202,296 and 907,481,268

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Solution

The third proportional to 584,202,296 and 907,481,268 is: 1,409,652,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,202,296 : 907,481,268 = 907,481,268 : x
  2. Step 2: Convert to fraction form
    584,202,296/907,481,268 = 907,481,268/x
  3. Step 3: Cross multiply
    584,202,296x = 907,481,268 × 907,481,268
  4. Step 4: Simplify right side
    584,202,296x = 823,522,251,770,887,808
  5. Step 5: Solve for x
    x = 823,522,251,770,887,808/584,202,296
  6. Step 6: Final answer
    x = 1,409,652,542.29

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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.