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Finding the Third Proportional to 753,012,192 and 1,100,619,999

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Solution

The third proportional to 753,012,192 and 1,100,619,999 is: 1,608,691,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,012,192 : 1,100,619,999 = 1,100,619,999 : x
  2. Step 2: Convert to fraction form
    753,012,192/1,100,619,999 = 1,100,619,999/x
  3. Step 3: Cross multiply
    753,012,192x = 1,100,619,999 × 1,100,619,999
  4. Step 4: Simplify right side
    753,012,192x = 1,211,364,382,198,759,936
  5. Step 5: Solve for x
    x = 1,211,364,382,198,759,936/753,012,192
  6. Step 6: Final answer
    x = 1,608,691,592.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.