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Finding the Third Proportional to 522,786 and 782,100

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Solution

The third proportional to 522,786 and 782,100 is: 1,170,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,786 : 782,100 = 782,100 : x
  2. Step 2: Convert to fraction form
    522,786/782,100 = 782,100/x
  3. Step 3: Cross multiply
    522,786x = 782,100 × 782,100
  4. Step 4: Simplify right side
    522,786x = 611,680,410,000
  5. Step 5: Solve for x
    x = 611,680,410,000/522,786
  6. Step 6: Final answer
    x = 1,170,039.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.