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Finding the Third Proportional to 1,173,264 and 2,253,216

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Solution

The third proportional to 1,173,264 and 2,253,216 is: 4,327,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,264 : 2,253,216 = 2,253,216 : x
  2. Step 2: Convert to fraction form
    1,173,264/2,253,216 = 2,253,216/x
  3. Step 3: Cross multiply
    1,173,264x = 2,253,216 × 2,253,216
  4. Step 4: Simplify right side
    1,173,264x = 5,076,982,342,656
  5. Step 5: Solve for x
    x = 5,076,982,342,656/1,173,264
  6. Step 6: Final answer
    x = 4,327,229.29

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.