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Finding the Third Proportional to 428,014 and 911,324

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Solution

The third proportional to 428,014 and 911,324 is: 1,940,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,014 : 911,324 = 911,324 : x
  2. Step 2: Convert to fraction form
    428,014/911,324 = 911,324/x
  3. Step 3: Cross multiply
    428,014x = 911,324 × 911,324
  4. Step 4: Simplify right side
    428,014x = 830,511,432,976
  5. Step 5: Solve for x
    x = 830,511,432,976/428,014
  6. Step 6: Final answer
    x = 1,940,383.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.