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Finding the Third Proportional to 2,110,284 and 4,295,147

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Solution

The third proportional to 2,110,284 and 4,295,147 is: 8,742,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110,284 : 4,295,147 = 4,295,147 : x
  2. Step 2: Convert to fraction form
    2,110,284/4,295,147 = 4,295,147/x
  3. Step 3: Cross multiply
    2,110,284x = 4,295,147 × 4,295,147
  4. Step 4: Simplify right side
    2,110,284x = 18,448,287,751,609
  5. Step 5: Solve for x
    x = 18,448,287,751,609/2,110,284
  6. Step 6: Final answer
    x = 8,742,087.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.