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Finding the Third Proportional to 541,652 and 1,173,700

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Solution

The third proportional to 541,652 and 1,173,700 is: 2,543,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,652 : 1,173,700 = 1,173,700 : x
  2. Step 2: Convert to fraction form
    541,652/1,173,700 = 1,173,700/x
  3. Step 3: Cross multiply
    541,652x = 1,173,700 × 1,173,700
  4. Step 4: Simplify right side
    541,652x = 1,377,571,690,000
  5. Step 5: Solve for x
    x = 1,377,571,690,000/541,652
  6. Step 6: Final answer
    x = 2,543,278.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.