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Finding the Third Proportional to 545,072 and 1,173,016

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Solution

The third proportional to 545,072 and 1,173,016 is: 2,524,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,072 : 1,173,016 = 1,173,016 : x
  2. Step 2: Convert to fraction form
    545,072/1,173,016 = 1,173,016/x
  3. Step 3: Cross multiply
    545,072x = 1,173,016 × 1,173,016
  4. Step 4: Simplify right side
    545,072x = 1,375,966,536,256
  5. Step 5: Solve for x
    x = 1,375,966,536,256/545,072
  6. Step 6: Final answer
    x = 2,524,375.75

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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.