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Finding the Third Proportional to 546,082 and 854,772

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Solution

The third proportional to 546,082 and 854,772 is: 1,337,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,082 : 854,772 = 854,772 : x
  2. Step 2: Convert to fraction form
    546,082/854,772 = 854,772/x
  3. Step 3: Cross multiply
    546,082x = 854,772 × 854,772
  4. Step 4: Simplify right side
    546,082x = 730,635,171,984
  5. Step 5: Solve for x
    x = 730,635,171,984/546,082
  6. Step 6: Final answer
    x = 1,337,958.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.