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Finding the Third Proportional to 541,344 and 1,165,632

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Solution

The third proportional to 541,344 and 1,165,632 is: 2,509,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,344 : 1,165,632 = 1,165,632 : x
  2. Step 2: Convert to fraction form
    541,344/1,165,632 = 1,165,632/x
  3. Step 3: Cross multiply
    541,344x = 1,165,632 × 1,165,632
  4. Step 4: Simplify right side
    541,344x = 1,358,697,959,424
  5. Step 5: Solve for x
    x = 1,358,697,959,424/541,344
  6. Step 6: Final answer
    x = 2,509,860.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.