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Finding the Third Proportional to 541,346 and 1,190,692

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Solution

The third proportional to 541,346 and 1,190,692 is: 2,618,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,346 : 1,190,692 = 1,190,692 : x
  2. Step 2: Convert to fraction form
    541,346/1,190,692 = 1,190,692/x
  3. Step 3: Cross multiply
    541,346x = 1,190,692 × 1,190,692
  4. Step 4: Simplify right side
    541,346x = 1,417,747,438,864
  5. Step 5: Solve for x
    x = 1,417,747,438,864/541,346
  6. Step 6: Final answer
    x = 2,618,930.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.