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Finding the Third Proportional to 546,114 and 854,811

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Solution

The third proportional to 546,114 and 854,811 is: 1,338,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,114 : 854,811 = 854,811 : x
  2. Step 2: Convert to fraction form
    546,114/854,811 = 854,811/x
  3. Step 3: Cross multiply
    546,114x = 854,811 × 854,811
  4. Step 4: Simplify right side
    546,114x = 730,701,845,721
  5. Step 5: Solve for x
    x = 730,701,845,721/546,114
  6. Step 6: Final answer
    x = 1,338,002.41

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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.