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Finding the Third Proportional to 407,884 and 874,818

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Solution

The third proportional to 407,884 and 874,818 is: 1,876,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,884 : 874,818 = 874,818 : x
  2. Step 2: Convert to fraction form
    407,884/874,818 = 874,818/x
  3. Step 3: Cross multiply
    407,884x = 874,818 × 874,818
  4. Step 4: Simplify right side
    407,884x = 765,306,533,124
  5. Step 5: Solve for x
    x = 765,306,533,124/407,884
  6. Step 6: Final answer
    x = 1,876,284.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.