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Finding the Third Proportional to 846,648 and 1,296,945

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Solution

The third proportional to 846,648 and 1,296,945 is: 1,986,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,648 : 1,296,945 = 1,296,945 : x
  2. Step 2: Convert to fraction form
    846,648/1,296,945 = 1,296,945/x
  3. Step 3: Cross multiply
    846,648x = 1,296,945 × 1,296,945
  4. Step 4: Simplify right side
    846,648x = 1,682,066,333,025
  5. Step 5: Solve for x
    x = 1,682,066,333,025/846,648
  6. Step 6: Final answer
    x = 1,986,736.32

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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.