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Finding the Third Proportional to 1,685,362 and 3,686,027

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Solution

The third proportional to 1,685,362 and 3,686,027 is: 8,061,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,362 : 3,686,027 = 3,686,027 : x
  2. Step 2: Convert to fraction form
    1,685,362/3,686,027 = 3,686,027/x
  3. Step 3: Cross multiply
    1,685,362x = 3,686,027 × 3,686,027
  4. Step 4: Simplify right side
    1,685,362x = 13,586,795,044,729
  5. Step 5: Solve for x
    x = 13,586,795,044,729/1,685,362
  6. Step 6: Final answer
    x = 8,061,647.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.