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Finding the Third Proportional to 2,284,116 and 3,213,693

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Solution

The third proportional to 2,284,116 and 3,213,693 is: 4,521,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,116 : 3,213,693 = 3,213,693 : x
  2. Step 2: Convert to fraction form
    2,284,116/3,213,693 = 3,213,693/x
  3. Step 3: Cross multiply
    2,284,116x = 3,213,693 × 3,213,693
  4. Step 4: Simplify right side
    2,284,116x = 10,327,822,698,249
  5. Step 5: Solve for x
    x = 10,327,822,698,249/2,284,116
  6. Step 6: Final answer
    x = 4,521,584.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.