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Finding the Third Proportional to 384,250,170 and 826,858,248

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Solution

The third proportional to 384,250,170 and 826,858,248 is: 1,779,295,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,250,170 : 826,858,248 = 826,858,248 : x
  2. Step 2: Convert to fraction form
    384,250,170/826,858,248 = 826,858,248/x
  3. Step 3: Cross multiply
    384,250,170x = 826,858,248 × 826,858,248
  4. Step 4: Simplify right side
    384,250,170x = 683,694,562,285,629,440
  5. Step 5: Solve for x
    x = 683,694,562,285,629,440/384,250,170
  6. Step 6: Final answer
    x = 1,779,295,406.13

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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.