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Finding the Third Proportional to 441,612 and 983,137

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Solution

The third proportional to 441,612 and 983,137 is: 2,188,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,612 : 983,137 = 983,137 : x
  2. Step 2: Convert to fraction form
    441,612/983,137 = 983,137/x
  3. Step 3: Cross multiply
    441,612x = 983,137 × 983,137
  4. Step 4: Simplify right side
    441,612x = 966,558,360,769
  5. Step 5: Solve for x
    x = 966,558,360,769/441,612
  6. Step 6: Final answer
    x = 2,188,704.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.