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Finding the Third Proportional to 723,764 and 1,529,176

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Solution

The third proportional to 723,764 and 1,529,176 is: 3,230,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,764 : 1,529,176 = 1,529,176 : x
  2. Step 2: Convert to fraction form
    723,764/1,529,176 = 1,529,176/x
  3. Step 3: Cross multiply
    723,764x = 1,529,176 × 1,529,176
  4. Step 4: Simplify right side
    723,764x = 2,338,379,238,976
  5. Step 5: Solve for x
    x = 2,338,379,238,976/723,764
  6. Step 6: Final answer
    x = 3,230,858.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.