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Finding the Third Proportional to 493,422.75 and 1,081,077.75

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Solution

The third proportional to 493,422.75 and 1,081,077.75 is: 2,368,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,422.75 : 1,081,077.75 = 1,081,077.75 : x
  2. Step 2: Convert to fraction form
    493,422.75/1,081,077.75 = 1,081,077.75/x
  3. Step 3: Cross multiply
    493,422.75x = 1,081,077.75 × 1,081,077.75
  4. Step 4: Simplify right side
    493,422.75x = 1,168,729,101,545.06
  5. Step 5: Solve for x
    x = 1,168,729,101,545.06/493,422.75
  6. Step 6: Final answer
    x = 2,368,616.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.