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Finding the Third Proportional to 443,296 and 918,123

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Solution

The third proportional to 443,296 and 918,123 is: 1,901,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,296 : 918,123 = 918,123 : x
  2. Step 2: Convert to fraction form
    443,296/918,123 = 918,123/x
  3. Step 3: Cross multiply
    443,296x = 918,123 × 918,123
  4. Step 4: Simplify right side
    443,296x = 842,949,843,129
  5. Step 5: Solve for x
    x = 842,949,843,129/443,296
  6. Step 6: Final answer
    x = 1,901,550.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.