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Finding the Third Proportional to 3,419,745.75 and 5,336,654.63

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Solution

The third proportional to 3,419,745.75 and 5,336,654.63 is: 8,328,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,745.75 : 5,336,654.63 = 5,336,654.63 : x
  2. Step 2: Convert to fraction form
    3,419,745.75/5,336,654.63 = 5,336,654.63/x
  3. Step 3: Cross multiply
    3,419,745.75x = 5,336,654.63 × 5,336,654.63
  4. Step 4: Simplify right side
    3,419,745.75x = 28,479,882,586,533.89
  5. Step 5: Solve for x
    x = 28,479,882,586,533.89/3,419,745.75
  6. Step 6: Final answer
    x = 8,328,070.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.