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Finding the Third Proportional to 2,535,734 and 5,188,072

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Solution

The third proportional to 2,535,734 and 5,188,072 is: 10,614,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,734 : 5,188,072 = 5,188,072 : x
  2. Step 2: Convert to fraction form
    2,535,734/5,188,072 = 5,188,072/x
  3. Step 3: Cross multiply
    2,535,734x = 5,188,072 × 5,188,072
  4. Step 4: Simplify right side
    2,535,734x = 26,916,091,077,184
  5. Step 5: Solve for x
    x = 26,916,091,077,184/2,535,734
  6. Step 6: Final answer
    x = 10,614,713.96

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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.