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Finding the Third Proportional to 542,943 and 1,192,230

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Solution

The third proportional to 542,943 and 1,192,230 is: 2,617,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,943 : 1,192,230 = 1,192,230 : x
  2. Step 2: Convert to fraction form
    542,943/1,192,230 = 1,192,230/x
  3. Step 3: Cross multiply
    542,943x = 1,192,230 × 1,192,230
  4. Step 4: Simplify right side
    542,943x = 1,421,412,372,900
  5. Step 5: Solve for x
    x = 1,421,412,372,900/542,943
  6. Step 6: Final answer
    x = 2,617,977.16

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Why These Related Problems?

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