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Finding the Third Proportional to 427,538 and 929,001

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Solution

The third proportional to 427,538 and 929,001 is: 2,018,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,538 : 929,001 = 929,001 : x
  2. Step 2: Convert to fraction form
    427,538/929,001 = 929,001/x
  3. Step 3: Cross multiply
    427,538x = 929,001 × 929,001
  4. Step 4: Simplify right side
    427,538x = 863,042,858,001
  5. Step 5: Solve for x
    x = 863,042,858,001/427,538
  6. Step 6: Final answer
    x = 2,018,634.27

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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.