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Finding the Third Proportional to 414,512 and 860,184

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Solution

The third proportional to 414,512 and 860,184 is: 1,785,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,512 : 860,184 = 860,184 : x
  2. Step 2: Convert to fraction form
    414,512/860,184 = 860,184/x
  3. Step 3: Cross multiply
    414,512x = 860,184 × 860,184
  4. Step 4: Simplify right side
    414,512x = 739,916,513,856
  5. Step 5: Solve for x
    x = 739,916,513,856/414,512
  6. Step 6: Final answer
    x = 1,785,030.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.