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Finding the Third Proportional to 734,788,379,144 and 1,021,664,508,141

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Solution

The third proportional to 734,788,379,144 and 1,021,664,508,141 is: 1,420,542,834,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,788,379,144 : 1,021,664,508,141 = 1,021,664,508,141 : x
  2. Step 2: Convert to fraction form
    734,788,379,144/1,021,664,508,141 = 1,021,664,508,141/x
  3. Step 3: Cross multiply
    734,788,379,144x = 1,021,664,508,141 × 1,021,664,508,141
  4. Step 4: Simplify right side
    734,788,379,144x = 1,043,798,367,194,991,512,518,656
  5. Step 5: Solve for x
    x = 1,043,798,367,194,991,512,518,656/734,788,379,144
  6. Step 6: Final answer
    x = 1,420,542,834,946.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.