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Finding the Third Proportional to 511,108,232 and 834,505,356

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Solution

The third proportional to 511,108,232 and 834,505,356 is: 1,362,527,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,108,232 : 834,505,356 = 834,505,356 : x
  2. Step 2: Convert to fraction form
    511,108,232/834,505,356 = 834,505,356/x
  3. Step 3: Cross multiply
    511,108,232x = 834,505,356 × 834,505,356
  4. Step 4: Simplify right side
    511,108,232x = 696,399,189,192,686,720
  5. Step 5: Solve for x
    x = 696,399,189,192,686,720/511,108,232
  6. Step 6: Final answer
    x = 1,362,527,827.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.