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Finding the Third Proportional to 799,769 and 1,689,448

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Solution

The third proportional to 799,769 and 1,689,448 is: 3,568,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,769 : 1,689,448 = 1,689,448 : x
  2. Step 2: Convert to fraction form
    799,769/1,689,448 = 1,689,448/x
  3. Step 3: Cross multiply
    799,769x = 1,689,448 × 1,689,448
  4. Step 4: Simplify right side
    799,769x = 2,854,234,544,704
  5. Step 5: Solve for x
    x = 2,854,234,544,704/799,769
  6. Step 6: Final answer
    x = 3,568,823.68

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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.