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Finding the Third Proportional to 547,029 and 828,093

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Solution

The third proportional to 547,029 and 828,093 is: 1,253,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,029 : 828,093 = 828,093 : x
  2. Step 2: Convert to fraction form
    547,029/828,093 = 828,093/x
  3. Step 3: Cross multiply
    547,029x = 828,093 × 828,093
  4. Step 4: Simplify right side
    547,029x = 685,738,016,649
  5. Step 5: Solve for x
    x = 685,738,016,649/547,029
  6. Step 6: Final answer
    x = 1,253,567.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.