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Finding the Third Proportional to 797,761,278 and 1,192,245,021

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Solution

The third proportional to 797,761,278 and 1,192,245,021 is: 1,781,796,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,761,278 : 1,192,245,021 = 1,192,245,021 : x
  2. Step 2: Convert to fraction form
    797,761,278/1,192,245,021 = 1,192,245,021/x
  3. Step 3: Cross multiply
    797,761,278x = 1,192,245,021 × 1,192,245,021
  4. Step 4: Simplify right side
    797,761,278x = 1,421,448,190,099,290,368
  5. Step 5: Solve for x
    x = 1,421,448,190,099,290,368/797,761,278
  6. Step 6: Final answer
    x = 1,781,796,421.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.