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Finding the Third Proportional to 1,826,878 and 3,925,916

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Solution

The third proportional to 1,826,878 and 3,925,916 is: 8,436,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,878 : 3,925,916 = 3,925,916 : x
  2. Step 2: Convert to fraction form
    1,826,878/3,925,916 = 3,925,916/x
  3. Step 3: Cross multiply
    1,826,878x = 3,925,916 × 3,925,916
  4. Step 4: Simplify right side
    1,826,878x = 15,412,816,439,056
  5. Step 5: Solve for x
    x = 15,412,816,439,056/1,826,878
  6. Step 6: Final answer
    x = 8,436,697.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.