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Finding the Third Proportional to 1,946,768 and 4,162,568

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Solution

The third proportional to 1,946,768 and 4,162,568 is: 8,900,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,768 : 4,162,568 = 4,162,568 : x
  2. Step 2: Convert to fraction form
    1,946,768/4,162,568 = 4,162,568/x
  3. Step 3: Cross multiply
    1,946,768x = 4,162,568 × 4,162,568
  4. Step 4: Simplify right side
    1,946,768x = 17,326,972,354,624
  5. Step 5: Solve for x
    x = 17,326,972,354,624/1,946,768
  6. Step 6: Final answer
    x = 8,900,378.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.