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Finding the Third Proportional to 499,166,794 and 778,968,824

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Solution

The third proportional to 499,166,794 and 778,968,824 is: 1,215,610,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,166,794 : 778,968,824 = 778,968,824 : x
  2. Step 2: Convert to fraction form
    499,166,794/778,968,824 = 778,968,824/x
  3. Step 3: Cross multiply
    499,166,794x = 778,968,824 × 778,968,824
  4. Step 4: Simplify right side
    499,166,794x = 606,792,428,763,942,912
  5. Step 5: Solve for x
    x = 606,792,428,763,942,912/499,166,794
  6. Step 6: Final answer
    x = 1,215,610,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.