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Finding the Third Proportional to 694,164,564 and 921,259,242

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Solution

The third proportional to 694,164,564 and 921,259,242 is: 1,222,647,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,164,564 : 921,259,242 = 921,259,242 : x
  2. Step 2: Convert to fraction form
    694,164,564/921,259,242 = 921,259,242/x
  3. Step 3: Cross multiply
    694,164,564x = 921,259,242 × 921,259,242
  4. Step 4: Simplify right side
    694,164,564x = 848,718,590,970,414,592
  5. Step 5: Solve for x
    x = 848,718,590,970,414,592/694,164,564
  6. Step 6: Final answer
    x = 1,222,647,531.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.