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Finding the Third Proportional to 2,112,814 and 4,554,146

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Solution

The third proportional to 2,112,814 and 4,554,146 is: 9,816,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,814 : 4,554,146 = 4,554,146 : x
  2. Step 2: Convert to fraction form
    2,112,814/4,554,146 = 4,554,146/x
  3. Step 3: Cross multiply
    2,112,814x = 4,554,146 × 4,554,146
  4. Step 4: Simplify right side
    2,112,814x = 20,740,245,789,316
  5. Step 5: Solve for x
    x = 20,740,245,789,316/2,112,814
  6. Step 6: Final answer
    x = 9,816,408.73

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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.