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Finding the Third Proportional to 210,186 and 459,821

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Solution

The third proportional to 210,186 and 459,821 is: 1,005,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,186 : 459,821 = 459,821 : x
  2. Step 2: Convert to fraction form
    210,186/459,821 = 459,821/x
  3. Step 3: Cross multiply
    210,186x = 459,821 × 459,821
  4. Step 4: Simplify right side
    210,186x = 211,435,352,041
  5. Step 5: Solve for x
    x = 211,435,352,041/210,186
  6. Step 6: Final answer
    x = 1,005,944.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.