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Finding the Third Proportional to 2,091,936 and 2,945,904

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Solution

The third proportional to 2,091,936 and 2,945,904 is: 4,148,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,936 : 2,945,904 = 2,945,904 : x
  2. Step 2: Convert to fraction form
    2,091,936/2,945,904 = 2,945,904/x
  3. Step 3: Cross multiply
    2,091,936x = 2,945,904 × 2,945,904
  4. Step 4: Simplify right side
    2,091,936x = 8,678,350,377,216
  5. Step 5: Solve for x
    x = 8,678,350,377,216/2,091,936
  6. Step 6: Final answer
    x = 4,148,477.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.