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Finding the Third Proportional to 2,105,091 and 4,546,920

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Solution

The third proportional to 2,105,091 and 4,546,920 is: 9,821,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,091 : 4,546,920 = 4,546,920 : x
  2. Step 2: Convert to fraction form
    2,105,091/4,546,920 = 4,546,920/x
  3. Step 3: Cross multiply
    2,105,091x = 4,546,920 × 4,546,920
  4. Step 4: Simplify right side
    2,105,091x = 20,674,481,486,400
  5. Step 5: Solve for x
    x = 20,674,481,486,400/2,105,091
  6. Step 6: Final answer
    x = 9,821,181.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.