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Finding the Third Proportional to 515,627,194 and 817,816,722

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Solution

The third proportional to 515,627,194 and 817,816,722 is: 1,297,108,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,627,194 : 817,816,722 = 817,816,722 : x
  2. Step 2: Convert to fraction form
    515,627,194/817,816,722 = 817,816,722/x
  3. Step 3: Cross multiply
    515,627,194x = 817,816,722 × 817,816,722
  4. Step 4: Simplify right side
    515,627,194x = 668,824,190,782,825,344
  5. Step 5: Solve for x
    x = 668,824,190,782,825,344/515,627,194
  6. Step 6: Final answer
    x = 1,297,108,062.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.