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Finding the Third Proportional to 727,227 and 1,546,371

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Solution

The third proportional to 727,227 and 1,546,371 is: 3,288,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,227 : 1,546,371 = 1,546,371 : x
  2. Step 2: Convert to fraction form
    727,227/1,546,371 = 1,546,371/x
  3. Step 3: Cross multiply
    727,227x = 1,546,371 × 1,546,371
  4. Step 4: Simplify right side
    727,227x = 2,391,263,269,641
  5. Step 5: Solve for x
    x = 2,391,263,269,641/727,227
  6. Step 6: Final answer
    x = 3,288,193.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.