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Finding the Third Proportional to 852,796 and 1,865,821

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Solution

The third proportional to 852,796 and 1,865,821 is: 4,082,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,796 : 1,865,821 = 1,865,821 : x
  2. Step 2: Convert to fraction form
    852,796/1,865,821 = 1,865,821/x
  3. Step 3: Cross multiply
    852,796x = 1,865,821 × 1,865,821
  4. Step 4: Simplify right side
    852,796x = 3,481,288,004,041
  5. Step 5: Solve for x
    x = 3,481,288,004,041/852,796
  6. Step 6: Final answer
    x = 4,082,204.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.