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Finding the Third Proportional to 619,846 and 872,864

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Solution

The third proportional to 619,846 and 872,864 is: 1,229,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,846 : 872,864 = 872,864 : x
  2. Step 2: Convert to fraction form
    619,846/872,864 = 872,864/x
  3. Step 3: Cross multiply
    619,846x = 872,864 × 872,864
  4. Step 4: Simplify right side
    619,846x = 761,891,562,496
  5. Step 5: Solve for x
    x = 761,891,562,496/619,846
  6. Step 6: Final answer
    x = 1,229,162.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.