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Finding the Third Proportional to 2,473,608 and 3,783,975

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Solution

The third proportional to 2,473,608 and 3,783,975 is: 5,788,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,608 : 3,783,975 = 3,783,975 : x
  2. Step 2: Convert to fraction form
    2,473,608/3,783,975 = 3,783,975/x
  3. Step 3: Cross multiply
    2,473,608x = 3,783,975 × 3,783,975
  4. Step 4: Simplify right side
    2,473,608x = 14,318,466,800,625
  5. Step 5: Solve for x
    x = 14,318,466,800,625/2,473,608
  6. Step 6: Final answer
    x = 5,788,494.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.