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Finding the Third Proportional to 1,787,774 and 3,909,766

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Solution

The third proportional to 1,787,774 and 3,909,766 is: 8,550,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,774 : 3,909,766 = 3,909,766 : x
  2. Step 2: Convert to fraction form
    1,787,774/3,909,766 = 3,909,766/x
  3. Step 3: Cross multiply
    1,787,774x = 3,909,766 × 3,909,766
  4. Step 4: Simplify right side
    1,787,774x = 15,286,270,174,756
  5. Step 5: Solve for x
    x = 15,286,270,174,756/1,787,774
  6. Step 6: Final answer
    x = 8,550,448.87

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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.