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Finding the Third Proportional to 532,161 and 847,182

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Solution

The third proportional to 532,161 and 847,182 is: 1,348,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,161 : 847,182 = 847,182 : x
  2. Step 2: Convert to fraction form
    532,161/847,182 = 847,182/x
  3. Step 3: Cross multiply
    532,161x = 847,182 × 847,182
  4. Step 4: Simplify right side
    532,161x = 717,717,341,124
  5. Step 5: Solve for x
    x = 717,717,341,124/532,161
  6. Step 6: Final answer
    x = 1,348,684.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.