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Finding the Third Proportional to 677,541 and 929,059

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Solution

The third proportional to 677,541 and 929,059 is: 1,273,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,541 : 929,059 = 929,059 : x
  2. Step 2: Convert to fraction form
    677,541/929,059 = 929,059/x
  3. Step 3: Cross multiply
    677,541x = 929,059 × 929,059
  4. Step 4: Simplify right side
    677,541x = 863,150,625,481
  5. Step 5: Solve for x
    x = 863,150,625,481/677,541
  6. Step 6: Final answer
    x = 1,273,945.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.