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Finding the Third Proportional to 1,949,476 and 4,347,198

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Solution

The third proportional to 1,949,476 and 4,347,198 is: 9,693,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,476 : 4,347,198 = 4,347,198 : x
  2. Step 2: Convert to fraction form
    1,949,476/4,347,198 = 4,347,198/x
  3. Step 3: Cross multiply
    1,949,476x = 4,347,198 × 4,347,198
  4. Step 4: Simplify right side
    1,949,476x = 18,898,130,451,204
  5. Step 5: Solve for x
    x = 18,898,130,451,204/1,949,476
  6. Step 6: Final answer
    x = 9,693,953.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.