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Finding the Third Proportional to 546,126.75 and 819,189

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Solution

The third proportional to 546,126.75 and 819,189 is: 1,228,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,126.75 : 819,189 = 819,189 : x
  2. Step 2: Convert to fraction form
    546,126.75/819,189 = 819,189/x
  3. Step 3: Cross multiply
    546,126.75x = 819,189 × 819,189
  4. Step 4: Simplify right side
    546,126.75x = 671,070,617,721
  5. Step 5: Solve for x
    x = 671,070,617,721/546,126.75
  6. Step 6: Final answer
    x = 1,228,781.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.