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Finding the Third Proportional to 736,749 and 1,100,601

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Solution

The third proportional to 736,749 and 1,100,601 is: 1,644,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,749 : 1,100,601 = 1,100,601 : x
  2. Step 2: Convert to fraction form
    736,749/1,100,601 = 1,100,601/x
  3. Step 3: Cross multiply
    736,749x = 1,100,601 × 1,100,601
  4. Step 4: Simplify right side
    736,749x = 1,211,322,561,201
  5. Step 5: Solve for x
    x = 1,211,322,561,201/736,749
  6. Step 6: Final answer
    x = 1,644,145.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.