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Finding the Third Proportional to 2,738,826 and 4,006,827

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Solution

The third proportional to 2,738,826 and 4,006,827 is: 5,861,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,826 : 4,006,827 = 4,006,827 : x
  2. Step 2: Convert to fraction form
    2,738,826/4,006,827 = 4,006,827/x
  3. Step 3: Cross multiply
    2,738,826x = 4,006,827 × 4,006,827
  4. Step 4: Simplify right side
    2,738,826x = 16,054,662,607,929
  5. Step 5: Solve for x
    x = 16,054,662,607,929/2,738,826
  6. Step 6: Final answer
    x = 5,861,877.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.