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Finding the Third Proportional to 542,538 and 1,178,481

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Solution

The third proportional to 542,538 and 1,178,481 is: 2,559,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,538 : 1,178,481 = 1,178,481 : x
  2. Step 2: Convert to fraction form
    542,538/1,178,481 = 1,178,481/x
  3. Step 3: Cross multiply
    542,538x = 1,178,481 × 1,178,481
  4. Step 4: Simplify right side
    542,538x = 1,388,817,467,361
  5. Step 5: Solve for x
    x = 1,388,817,467,361/542,538
  6. Step 6: Final answer
    x = 2,559,852.89

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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.