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Finding the Third Proportional to 2,105,085 and 4,546,908

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Solution

The third proportional to 2,105,085 and 4,546,908 is: 9,821,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,085 : 4,546,908 = 4,546,908 : x
  2. Step 2: Convert to fraction form
    2,105,085/4,546,908 = 4,546,908/x
  3. Step 3: Cross multiply
    2,105,085x = 4,546,908 × 4,546,908
  4. Step 4: Simplify right side
    2,105,085x = 20,674,372,360,464
  5. Step 5: Solve for x
    x = 20,674,372,360,464/2,105,085
  6. Step 6: Final answer
    x = 9,821,157.99

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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.