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Finding the Third Proportional to 528,634 and 851,182

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Solution

The third proportional to 528,634 and 851,182 is: 1,370,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,634 : 851,182 = 851,182 : x
  2. Step 2: Convert to fraction form
    528,634/851,182 = 851,182/x
  3. Step 3: Cross multiply
    528,634x = 851,182 × 851,182
  4. Step 4: Simplify right side
    528,634x = 724,510,797,124
  5. Step 5: Solve for x
    x = 724,510,797,124/528,634
  6. Step 6: Final answer
    x = 1,370,533.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.