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Finding the Third Proportional to 822,100,116 and 1,187,792,694

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Solution

The third proportional to 822,100,116 and 1,187,792,694 is: 1,716,155,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,100,116 : 1,187,792,694 = 1,187,792,694 : x
  2. Step 2: Convert to fraction form
    822,100,116/1,187,792,694 = 1,187,792,694/x
  3. Step 3: Cross multiply
    822,100,116x = 1,187,792,694 × 1,187,792,694
  4. Step 4: Simplify right side
    822,100,116x = 1,410,851,483,919,777,536
  5. Step 5: Solve for x
    x = 1,410,851,483,919,777,536/822,100,116
  6. Step 6: Final answer
    x = 1,716,155,315.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.