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Finding the Third Proportional to 395,097,608 and 850,879,120

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Solution

The third proportional to 395,097,608 and 850,879,120 is: 1,832,446,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,097,608 : 850,879,120 = 850,879,120 : x
  2. Step 2: Convert to fraction form
    395,097,608/850,879,120 = 850,879,120/x
  3. Step 3: Cross multiply
    395,097,608x = 850,879,120 × 850,879,120
  4. Step 4: Simplify right side
    395,097,608x = 723,995,276,851,974,400
  5. Step 5: Solve for x
    x = 723,995,276,851,974,400/395,097,608
  6. Step 6: Final answer
    x = 1,832,446,621.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.