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Finding the Third Proportional to 739,194 and 1,588,814

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Solution

The third proportional to 739,194 and 1,588,814 is: 3,414,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,194 : 1,588,814 = 1,588,814 : x
  2. Step 2: Convert to fraction form
    739,194/1,588,814 = 1,588,814/x
  3. Step 3: Cross multiply
    739,194x = 1,588,814 × 1,588,814
  4. Step 4: Simplify right side
    739,194x = 2,524,329,926,596
  5. Step 5: Solve for x
    x = 2,524,329,926,596/739,194
  6. Step 6: Final answer
    x = 3,414,976.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.