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Finding the Third Proportional to 532,933 and 819,162

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Solution

The third proportional to 532,933 and 819,162 is: 1,259,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,933 : 819,162 = 819,162 : x
  2. Step 2: Convert to fraction form
    532,933/819,162 = 819,162/x
  3. Step 3: Cross multiply
    532,933x = 819,162 × 819,162
  4. Step 4: Simplify right side
    532,933x = 671,026,382,244
  5. Step 5: Solve for x
    x = 671,026,382,244/532,933
  6. Step 6: Final answer
    x = 1,259,119.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.