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Finding the Third Proportional to 666,922 and 1,460,932

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Solution

The third proportional to 666,922 and 1,460,932 is: 3,200,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,922 : 1,460,932 = 1,460,932 : x
  2. Step 2: Convert to fraction form
    666,922/1,460,932 = 1,460,932/x
  3. Step 3: Cross multiply
    666,922x = 1,460,932 × 1,460,932
  4. Step 4: Simplify right side
    666,922x = 2,134,322,308,624
  5. Step 5: Solve for x
    x = 2,134,322,308,624/666,922
  6. Step 6: Final answer
    x = 3,200,257.76

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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.