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Finding the Third Proportional to 414,591 and 855,354

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Solution

The third proportional to 414,591 and 855,354 is: 1,764,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,591 : 855,354 = 855,354 : x
  2. Step 2: Convert to fraction form
    414,591/855,354 = 855,354/x
  3. Step 3: Cross multiply
    414,591x = 855,354 × 855,354
  4. Step 4: Simplify right side
    414,591x = 731,630,465,316
  5. Step 5: Solve for x
    x = 731,630,465,316/414,591
  6. Step 6: Final answer
    x = 1,764,704.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.