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Finding the Third Proportional to 656,896 and 1,412,016

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Solution

The third proportional to 656,896 and 1,412,016 is: 3,035,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,896 : 1,412,016 = 1,412,016 : x
  2. Step 2: Convert to fraction form
    656,896/1,412,016 = 1,412,016/x
  3. Step 3: Cross multiply
    656,896x = 1,412,016 × 1,412,016
  4. Step 4: Simplify right side
    656,896x = 1,993,789,184,256
  5. Step 5: Solve for x
    x = 1,993,789,184,256/656,896
  6. Step 6: Final answer
    x = 3,035,167.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.