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Finding the Third Proportional to 523,393 and 1,133,734

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Solution

The third proportional to 523,393 and 1,133,734 is: 2,455,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,393 : 1,133,734 = 1,133,734 : x
  2. Step 2: Convert to fraction form
    523,393/1,133,734 = 1,133,734/x
  3. Step 3: Cross multiply
    523,393x = 1,133,734 × 1,133,734
  4. Step 4: Simplify right side
    523,393x = 1,285,352,782,756
  5. Step 5: Solve for x
    x = 1,285,352,782,756/523,393
  6. Step 6: Final answer
    x = 2,455,808.13

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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.