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Finding the Third Proportional to 799,770 and 1,689,450

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Solution

The third proportional to 799,770 and 1,689,450 is: 3,568,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,770 : 1,689,450 = 1,689,450 : x
  2. Step 2: Convert to fraction form
    799,770/1,689,450 = 1,689,450/x
  3. Step 3: Cross multiply
    799,770x = 1,689,450 × 1,689,450
  4. Step 4: Simplify right side
    799,770x = 2,854,241,302,500
  5. Step 5: Solve for x
    x = 2,854,241,302,500/799,770
  6. Step 6: Final answer
    x = 3,568,827.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.