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Finding the Third Proportional to 546,097 and 854,800

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Solution

The third proportional to 546,097 and 854,800 is: 1,338,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,097 : 854,800 = 854,800 : x
  2. Step 2: Convert to fraction form
    546,097/854,800 = 854,800/x
  3. Step 3: Cross multiply
    546,097x = 854,800 × 854,800
  4. Step 4: Simplify right side
    546,097x = 730,683,040,000
  5. Step 5: Solve for x
    x = 730,683,040,000/546,097
  6. Step 6: Final answer
    x = 1,338,009.62

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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.