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Finding the Third Proportional to 517,936 and 1,130,016

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Solution

The third proportional to 517,936 and 1,130,016 is: 2,465,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,936 : 1,130,016 = 1,130,016 : x
  2. Step 2: Convert to fraction form
    517,936/1,130,016 = 1,130,016/x
  3. Step 3: Cross multiply
    517,936x = 1,130,016 × 1,130,016
  4. Step 4: Simplify right side
    517,936x = 1,276,936,160,256
  5. Step 5: Solve for x
    x = 1,276,936,160,256/517,936
  6. Step 6: Final answer
    x = 2,465,432.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.