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Finding the Third Proportional to 858,668 and 1,864,828

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Solution

The third proportional to 858,668 and 1,864,828 is: 4,049,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,668 : 1,864,828 = 1,864,828 : x
  2. Step 2: Convert to fraction form
    858,668/1,864,828 = 1,864,828/x
  3. Step 3: Cross multiply
    858,668x = 1,864,828 × 1,864,828
  4. Step 4: Simplify right side
    858,668x = 3,477,583,469,584
  5. Step 5: Solve for x
    x = 3,477,583,469,584/858,668
  6. Step 6: Final answer
    x = 4,049,974.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.