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Finding the Third Proportional to 641,572 and 999,162

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Solution

The third proportional to 641,572 and 999,162 is: 1,556,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,572 : 999,162 = 999,162 : x
  2. Step 2: Convert to fraction form
    641,572/999,162 = 999,162/x
  3. Step 3: Cross multiply
    641,572x = 999,162 × 999,162
  4. Step 4: Simplify right side
    641,572x = 998,324,702,244
  5. Step 5: Solve for x
    x = 998,324,702,244/641,572
  6. Step 6: Final answer
    x = 1,556,060.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.