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Finding the Third Proportional to 2,105,094 and 4,546,924

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Solution

The third proportional to 2,105,094 and 4,546,924 is: 9,821,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,094 : 4,546,924 = 4,546,924 : x
  2. Step 2: Convert to fraction form
    2,105,094/4,546,924 = 4,546,924/x
  3. Step 3: Cross multiply
    2,105,094x = 4,546,924 × 4,546,924
  4. Step 4: Simplify right side
    2,105,094x = 20,674,517,861,776
  5. Step 5: Solve for x
    x = 20,674,517,861,776/2,105,094
  6. Step 6: Final answer
    x = 9,821,185.12

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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.