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Finding the Third Proportional to 546,212 and 854,971

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Solution

The third proportional to 546,212 and 854,971 is: 1,338,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,212 : 854,971 = 854,971 : x
  2. Step 2: Convert to fraction form
    546,212/854,971 = 854,971/x
  3. Step 3: Cross multiply
    546,212x = 854,971 × 854,971
  4. Step 4: Simplify right side
    546,212x = 730,975,410,841
  5. Step 5: Solve for x
    x = 730,975,410,841/546,212
  6. Step 6: Final answer
    x = 1,338,263.19

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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.