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Finding the Third Proportional to 1,574,198 and 3,479,170

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Solution

The third proportional to 1,574,198 and 3,479,170 is: 7,689,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,198 : 3,479,170 = 3,479,170 : x
  2. Step 2: Convert to fraction form
    1,574,198/3,479,170 = 3,479,170/x
  3. Step 3: Cross multiply
    1,574,198x = 3,479,170 × 3,479,170
  4. Step 4: Simplify right side
    1,574,198x = 12,104,623,888,900
  5. Step 5: Solve for x
    x = 12,104,623,888,900/1,574,198
  6. Step 6: Final answer
    x = 7,689,390.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.