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Finding the Third Proportional to 2,133,774 and 3,271,932

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Solution

The third proportional to 2,133,774 and 3,271,932 is: 5,017,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,774 : 3,271,932 = 3,271,932 : x
  2. Step 2: Convert to fraction form
    2,133,774/3,271,932 = 3,271,932/x
  3. Step 3: Cross multiply
    2,133,774x = 3,271,932 × 3,271,932
  4. Step 4: Simplify right side
    2,133,774x = 10,705,539,012,624
  5. Step 5: Solve for x
    x = 10,705,539,012,624/2,133,774
  6. Step 6: Final answer
    x = 5,017,185.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.