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Finding the Third Proportional to 2,201,022 and 3,281,211

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Solution

The third proportional to 2,201,022 and 3,281,211 is: 4,891,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,022 : 3,281,211 = 3,281,211 : x
  2. Step 2: Convert to fraction form
    2,201,022/3,281,211 = 3,281,211/x
  3. Step 3: Cross multiply
    2,201,022x = 3,281,211 × 3,281,211
  4. Step 4: Simplify right side
    2,201,022x = 10,766,345,626,521
  5. Step 5: Solve for x
    x = 10,766,345,626,521/2,201,022
  6. Step 6: Final answer
    x = 4,891,521.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.