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Finding the Third Proportional to 797,761,278 and 1,192,245,020

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Solution

The third proportional to 797,761,278 and 1,192,245,020 is: 1,781,796,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,761,278 : 1,192,245,020 = 1,192,245,020 : x
  2. Step 2: Convert to fraction form
    797,761,278/1,192,245,020 = 1,192,245,020/x
  3. Step 3: Cross multiply
    797,761,278x = 1,192,245,020 × 1,192,245,020
  4. Step 4: Simplify right side
    797,761,278x = 1,421,448,187,714,800,384
  5. Step 5: Solve for x
    x = 1,421,448,187,714,800,384/797,761,278
  6. Step 6: Final answer
    x = 1,781,796,418.19

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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.