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Finding the Third Proportional to 542,372 and 1,188,136

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Solution

The third proportional to 542,372 and 1,188,136 is: 2,602,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,372 : 1,188,136 = 1,188,136 : x
  2. Step 2: Convert to fraction form
    542,372/1,188,136 = 1,188,136/x
  3. Step 3: Cross multiply
    542,372x = 1,188,136 × 1,188,136
  4. Step 4: Simplify right side
    542,372x = 1,411,667,154,496
  5. Step 5: Solve for x
    x = 1,411,667,154,496/542,372
  6. Step 6: Final answer
    x = 2,602,765.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.