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Finding the Third Proportional to 452,238 and 941,682

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Solution

The third proportional to 452,238 and 941,682 is: 1,960,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,238 : 941,682 = 941,682 : x
  2. Step 2: Convert to fraction form
    452,238/941,682 = 941,682/x
  3. Step 3: Cross multiply
    452,238x = 941,682 × 941,682
  4. Step 4: Simplify right side
    452,238x = 886,764,989,124
  5. Step 5: Solve for x
    x = 886,764,989,124/452,238
  6. Step 6: Final answer
    x = 1,960,836.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.