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Finding the Third Proportional to 3,821,020 and 5,192,047

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Solution

The third proportional to 3,821,020 and 5,192,047 is: 7,055,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821,020 : 5,192,047 = 5,192,047 : x
  2. Step 2: Convert to fraction form
    3,821,020/5,192,047 = 5,192,047/x
  3. Step 3: Cross multiply
    3,821,020x = 5,192,047 × 5,192,047
  4. Step 4: Simplify right side
    3,821,020x = 26,957,352,050,209
  5. Step 5: Solve for x
    x = 26,957,352,050,209/3,821,020
  6. Step 6: Final answer
    x = 7,055,014.64

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.