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Finding the Third Proportional to 493,480,738 and 1,097,296,727

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Solution

The third proportional to 493,480,738 and 1,097,296,727 is: 2,439,933,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,480,738 : 1,097,296,727 = 1,097,296,727 : x
  2. Step 2: Convert to fraction form
    493,480,738/1,097,296,727 = 1,097,296,727/x
  3. Step 3: Cross multiply
    493,480,738x = 1,097,296,727 × 1,097,296,727
  4. Step 4: Simplify right side
    493,480,738x = 1,204,060,107,084,912,640
  5. Step 5: Solve for x
    x = 1,204,060,107,084,912,640/493,480,738
  6. Step 6: Final answer
    x = 2,439,933,343.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.