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Finding the Third Proportional to 547,052 and 828,129

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Solution

The third proportional to 547,052 and 828,129 is: 1,253,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,052 : 828,129 = 828,129 : x
  2. Step 2: Convert to fraction form
    547,052/828,129 = 828,129/x
  3. Step 3: Cross multiply
    547,052x = 828,129 × 828,129
  4. Step 4: Simplify right side
    547,052x = 685,797,640,641
  5. Step 5: Solve for x
    x = 685,797,640,641/547,052
  6. Step 6: Final answer
    x = 1,253,624.23

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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.