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Finding the Third Proportional to 542,628 and 1,178,667

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Solution

The third proportional to 542,628 and 1,178,667 is: 2,560,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,628 : 1,178,667 = 1,178,667 : x
  2. Step 2: Convert to fraction form
    542,628/1,178,667 = 1,178,667/x
  3. Step 3: Cross multiply
    542,628x = 1,178,667 × 1,178,667
  4. Step 4: Simplify right side
    542,628x = 1,389,255,896,889
  5. Step 5: Solve for x
    x = 1,389,255,896,889/542,628
  6. Step 6: Final answer
    x = 2,560,236.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.