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Finding the Third Proportional to 735,183 and 1,601,164.13

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Solution

The third proportional to 735,183 and 1,601,164.13 is: 3,487,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,183 : 1,601,164.13 = 1,601,164.13 : x
  2. Step 2: Convert to fraction form
    735,183/1,601,164.13 = 1,601,164.13/x
  3. Step 3: Cross multiply
    735,183x = 1,601,164.13 × 1,601,164.13
  4. Step 4: Simplify right side
    735,183x = 2,563,726,555,187.02
  5. Step 5: Solve for x
    x = 2,563,726,555,187.02/735,183
  6. Step 6: Final answer
    x = 3,487,195.10

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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.