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Finding the Third Proportional to 655,848 and 1,415,016

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Solution

The third proportional to 655,848 and 1,415,016 is: 3,052,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,848 : 1,415,016 = 1,415,016 : x
  2. Step 2: Convert to fraction form
    655,848/1,415,016 = 1,415,016/x
  3. Step 3: Cross multiply
    655,848x = 1,415,016 × 1,415,016
  4. Step 4: Simplify right side
    655,848x = 2,002,270,280,256
  5. Step 5: Solve for x
    x = 2,002,270,280,256/655,848
  6. Step 6: Final answer
    x = 3,052,948.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.