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Finding the Third Proportional to 3,165,621.75 and 4,904,813.25

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Solution

The third proportional to 3,165,621.75 and 4,904,813.25 is: 7,599,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,621.75 : 4,904,813.25 = 4,904,813.25 : x
  2. Step 2: Convert to fraction form
    3,165,621.75/4,904,813.25 = 4,904,813.25/x
  3. Step 3: Cross multiply
    3,165,621.75x = 4,904,813.25 × 4,904,813.25
  4. Step 4: Simplify right side
    3,165,621.75x = 24,057,193,017,375.56
  5. Step 5: Solve for x
    x = 24,057,193,017,375.56/3,165,621.75
  6. Step 6: Final answer
    x = 7,599,515.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.