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Finding the Third Proportional to 414,538 and 860,240

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Solution

The third proportional to 414,538 and 860,240 is: 1,785,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,538 : 860,240 = 860,240 : x
  2. Step 2: Convert to fraction form
    414,538/860,240 = 860,240/x
  3. Step 3: Cross multiply
    414,538x = 860,240 × 860,240
  4. Step 4: Simplify right side
    414,538x = 740,012,857,600
  5. Step 5: Solve for x
    x = 740,012,857,600/414,538
  6. Step 6: Final answer
    x = 1,785,150.84

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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.