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Finding the Third Proportional to 735,185 and 1,601,168

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Solution

The third proportional to 735,185 and 1,601,168 is: 3,487,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,185 : 1,601,168 = 1,601,168 : x
  2. Step 2: Convert to fraction form
    735,185/1,601,168 = 1,601,168/x
  3. Step 3: Cross multiply
    735,185x = 1,601,168 × 1,601,168
  4. Step 4: Simplify right side
    735,185x = 2,563,738,964,224
  5. Step 5: Solve for x
    x = 2,563,738,964,224/735,185
  6. Step 6: Final answer
    x = 3,487,202.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.