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Finding the Third Proportional to 517,086 and 1,081,020

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Solution

The third proportional to 517,086 and 1,081,020 is: 2,259,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,086 : 1,081,020 = 1,081,020 : x
  2. Step 2: Convert to fraction form
    517,086/1,081,020 = 1,081,020/x
  3. Step 3: Cross multiply
    517,086x = 1,081,020 × 1,081,020
  4. Step 4: Simplify right side
    517,086x = 1,168,604,240,400
  5. Step 5: Solve for x
    x = 1,168,604,240,400/517,086
  6. Step 6: Final answer
    x = 2,259,980.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.