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Finding the Third Proportional to 2,057,226.75 and 3,260,219.25

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Solution

The third proportional to 2,057,226.75 and 3,260,219.25 is: 5,166,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,226.75 : 3,260,219.25 = 3,260,219.25 : x
  2. Step 2: Convert to fraction form
    2,057,226.75/3,260,219.25 = 3,260,219.25/x
  3. Step 3: Cross multiply
    2,057,226.75x = 3,260,219.25 × 3,260,219.25
  4. Step 4: Simplify right side
    2,057,226.75x = 10,629,029,558,070.56
  5. Step 5: Solve for x
    x = 10,629,029,558,070.56/2,057,226.75
  6. Step 6: Final answer
    x = 5,166,678.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.