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Finding the Third Proportional to 397,544,530 and 850,358,916

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Solution

The third proportional to 397,544,530 and 850,358,916 is: 1,818,941,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,544,530 : 850,358,916 = 850,358,916 : x
  2. Step 2: Convert to fraction form
    397,544,530/850,358,916 = 850,358,916/x
  3. Step 3: Cross multiply
    397,544,530x = 850,358,916 × 850,358,916
  4. Step 4: Simplify right side
    397,544,530x = 723,110,286,020,695,040
  5. Step 5: Solve for x
    x = 723,110,286,020,695,040/397,544,530
  6. Step 6: Final answer
    x = 1,818,941,606.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.