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Finding the Third Proportional to 403,886 and 874,632

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Solution

The third proportional to 403,886 and 874,632 is: 1,894,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,886 : 874,632 = 874,632 : x
  2. Step 2: Convert to fraction form
    403,886/874,632 = 874,632/x
  3. Step 3: Cross multiply
    403,886x = 874,632 × 874,632
  4. Step 4: Simplify right side
    403,886x = 764,981,135,424
  5. Step 5: Solve for x
    x = 764,981,135,424/403,886
  6. Step 6: Final answer
    x = 1,894,052.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.