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Finding the Third Proportional to 395,384,004 and 823,493,706

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Solution

The third proportional to 395,384,004 and 823,493,706 is: 1,715,147,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,384,004 : 823,493,706 = 823,493,706 : x
  2. Step 2: Convert to fraction form
    395,384,004/823,493,706 = 823,493,706/x
  3. Step 3: Cross multiply
    395,384,004x = 823,493,706 × 823,493,706
  4. Step 4: Simplify right side
    395,384,004x = 678,141,883,821,614,464
  5. Step 5: Solve for x
    x = 678,141,883,821,614,464/395,384,004
  6. Step 6: Final answer
    x = 1,715,147,494.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.