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Finding the Third Proportional to 397,281,724 and 855,280,176

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Solution

The third proportional to 397,281,724 and 855,280,176 is: 1,841,273,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,281,724 : 855,280,176 = 855,280,176 : x
  2. Step 2: Convert to fraction form
    397,281,724/855,280,176 = 855,280,176/x
  3. Step 3: Cross multiply
    397,281,724x = 855,280,176 × 855,280,176
  4. Step 4: Simplify right side
    397,281,724x = 731,504,179,458,590,976
  5. Step 5: Solve for x
    x = 731,504,179,458,590,976/397,281,724
  6. Step 6: Final answer
    x = 1,841,273,170.32

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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.