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Finding the Third Proportional to 393,914 and 949,703

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Solution

The third proportional to 393,914 and 949,703 is: 2,289,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,914 : 949,703 = 949,703 : x
  2. Step 2: Convert to fraction form
    393,914/949,703 = 949,703/x
  3. Step 3: Cross multiply
    393,914x = 949,703 × 949,703
  4. Step 4: Simplify right side
    393,914x = 901,935,788,209
  5. Step 5: Solve for x
    x = 901,935,788,209/393,914
  6. Step 6: Final answer
    x = 2,289,676.90

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.