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Finding the Third Proportional to 739,198.41 and 1,603,875.94

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Solution

The third proportional to 739,198.41 and 1,603,875.94 is: 3,480,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,198.41 : 1,603,875.94 = 1,603,875.94 : x
  2. Step 2: Convert to fraction form
    739,198.41/1,603,875.94 = 1,603,875.94/x
  3. Step 3: Cross multiply
    739,198.41x = 1,603,875.94 × 1,603,875.94
  4. Step 4: Simplify right side
    739,198.41x = 2,572,418,022,891.50
  5. Step 5: Solve for x
    x = 2,572,418,022,891.50/739,198.41
  6. Step 6: Final answer
    x = 3,480,010.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.