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Finding the Third Proportional to 541,362 and 1,190,724

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Solution

The third proportional to 541,362 and 1,190,724 is: 2,618,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,362 : 1,190,724 = 1,190,724 : x
  2. Step 2: Convert to fraction form
    541,362/1,190,724 = 1,190,724/x
  3. Step 3: Cross multiply
    541,362x = 1,190,724 × 1,190,724
  4. Step 4: Simplify right side
    541,362x = 1,417,823,644,176
  5. Step 5: Solve for x
    x = 1,417,823,644,176/541,362
  6. Step 6: Final answer
    x = 2,618,993.66

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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.