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Finding the Third Proportional to 1,803,051 and 2,578,197

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Solution

The third proportional to 1,803,051 and 2,578,197 is: 3,686,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803,051 : 2,578,197 = 2,578,197 : x
  2. Step 2: Convert to fraction form
    1,803,051/2,578,197 = 2,578,197/x
  3. Step 3: Cross multiply
    1,803,051x = 2,578,197 × 2,578,197
  4. Step 4: Simplify right side
    1,803,051x = 6,647,099,770,809
  5. Step 5: Solve for x
    x = 6,647,099,770,809/1,803,051
  6. Step 6: Final answer
    x = 3,686,584.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.