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Finding the Third Proportional to 858,107.25 and 1,165,416.75

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Solution

The third proportional to 858,107.25 and 1,165,416.75 is: 1,582,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,107.25 : 1,165,416.75 = 1,165,416.75 : x
  2. Step 2: Convert to fraction form
    858,107.25/1,165,416.75 = 1,165,416.75/x
  3. Step 3: Cross multiply
    858,107.25x = 1,165,416.75 × 1,165,416.75
  4. Step 4: Simplify right side
    858,107.25x = 1,358,196,201,180.56
  5. Step 5: Solve for x
    x = 1,358,196,201,180.56/858,107.25
  6. Step 6: Final answer
    x = 1,582,781.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.