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Finding the Third Proportional to 736,903 and 1,529,198

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Solution

The third proportional to 736,903 and 1,529,198 is: 3,173,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,903 : 1,529,198 = 1,529,198 : x
  2. Step 2: Convert to fraction form
    736,903/1,529,198 = 1,529,198/x
  3. Step 3: Cross multiply
    736,903x = 1,529,198 × 1,529,198
  4. Step 4: Simplify right side
    736,903x = 2,338,446,523,204
  5. Step 5: Solve for x
    x = 2,338,446,523,204/736,903
  6. Step 6: Final answer
    x = 3,173,343.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.