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Finding the Third Proportional to 558,928 and 1,228,082

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Solution

The third proportional to 558,928 and 1,228,082 is: 2,698,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,928 : 1,228,082 = 1,228,082 : x
  2. Step 2: Convert to fraction form
    558,928/1,228,082 = 1,228,082/x
  3. Step 3: Cross multiply
    558,928x = 1,228,082 × 1,228,082
  4. Step 4: Simplify right side
    558,928x = 1,508,185,398,724
  5. Step 5: Solve for x
    x = 1,508,185,398,724/558,928
  6. Step 6: Final answer
    x = 2,698,353.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.