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Finding the Third Proportional to 2,109,792 and 4,534,149

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Solution

The third proportional to 2,109,792 and 4,534,149 is: 9,744,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,792 : 4,534,149 = 4,534,149 : x
  2. Step 2: Convert to fraction form
    2,109,792/4,534,149 = 4,534,149/x
  3. Step 3: Cross multiply
    2,109,792x = 4,534,149 × 4,534,149
  4. Step 4: Simplify right side
    2,109,792x = 20,558,507,154,201
  5. Step 5: Solve for x
    x = 20,558,507,154,201/2,109,792
  6. Step 6: Final answer
    x = 9,744,328.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.