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Finding the Third Proportional to 546,115 and 854,813

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Solution

The third proportional to 546,115 and 854,813 is: 1,338,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,115 : 854,813 = 854,813 : x
  2. Step 2: Convert to fraction form
    546,115/854,813 = 854,813/x
  3. Step 3: Cross multiply
    546,115x = 854,813 × 854,813
  4. Step 4: Simplify right side
    546,115x = 730,705,264,969
  5. Step 5: Solve for x
    x = 730,705,264,969/546,115
  6. Step 6: Final answer
    x = 1,338,006.22

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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.