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Finding the Third Proportional to 679,419,626,876 and 1,054,928,494,344

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Solution

The third proportional to 679,419,626,876 and 1,054,928,494,344 is: 1,637,977,597,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,419,626,876 : 1,054,928,494,344 = 1,054,928,494,344 : x
  2. Step 2: Convert to fraction form
    679,419,626,876/1,054,928,494,344 = 1,054,928,494,344/x
  3. Step 3: Cross multiply
    679,419,626,876x = 1,054,928,494,344 × 1,054,928,494,344
  4. Step 4: Simplify right side
    679,419,626,876x = 1,112,874,128,178,898,848,972,800
  5. Step 5: Solve for x
    x = 1,112,874,128,178,898,848,972,800/679,419,626,876
  6. Step 6: Final answer
    x = 1,637,977,597,579.78

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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.