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Finding the Third Proportional to 4,369,144 and 6,783,756

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Solution

The third proportional to 4,369,144 and 6,783,756 is: 10,532,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369,144 : 6,783,756 = 6,783,756 : x
  2. Step 2: Convert to fraction form
    4,369,144/6,783,756 = 6,783,756/x
  3. Step 3: Cross multiply
    4,369,144x = 6,783,756 × 6,783,756
  4. Step 4: Simplify right side
    4,369,144x = 46,019,345,467,536
  5. Step 5: Solve for x
    x = 46,019,345,467,536/4,369,144
  6. Step 6: Final answer
    x = 10,532,805.85

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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.