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Finding the Third Proportional to 2,083,266 and 4,263,062

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Solution

The third proportional to 2,083,266 and 4,263,062 is: 8,723,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,266 : 4,263,062 = 4,263,062 : x
  2. Step 2: Convert to fraction form
    2,083,266/4,263,062 = 4,263,062/x
  3. Step 3: Cross multiply
    2,083,266x = 4,263,062 × 4,263,062
  4. Step 4: Simplify right side
    2,083,266x = 18,173,697,615,844
  5. Step 5: Solve for x
    x = 18,173,697,615,844/2,083,266
  6. Step 6: Final answer
    x = 8,723,656.80

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.