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Finding the Third Proportional to 547,050 and 828,126

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Solution

The third proportional to 547,050 and 828,126 is: 1,253,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,050 : 828,126 = 828,126 : x
  2. Step 2: Convert to fraction form
    547,050/828,126 = 828,126/x
  3. Step 3: Cross multiply
    547,050x = 828,126 × 828,126
  4. Step 4: Simplify right side
    547,050x = 685,792,671,876
  5. Step 5: Solve for x
    x = 685,792,671,876/547,050
  6. Step 6: Final answer
    x = 1,253,619.73

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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.