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Finding the Third Proportional to 1,429,144 and 2,274,916

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Solution

The third proportional to 1,429,144 and 2,274,916 is: 3,621,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,144 : 2,274,916 = 2,274,916 : x
  2. Step 2: Convert to fraction form
    1,429,144/2,274,916 = 2,274,916/x
  3. Step 3: Cross multiply
    1,429,144x = 2,274,916 × 2,274,916
  4. Step 4: Simplify right side
    1,429,144x = 5,175,242,807,056
  5. Step 5: Solve for x
    x = 5,175,242,807,056/1,429,144
  6. Step 6: Final answer
    x = 3,621,218.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.