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Finding the Third Proportional to 2,109,200 and 4,550,176

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Solution

The third proportional to 2,109,200 and 4,550,176 is: 9,816,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,200 : 4,550,176 = 4,550,176 : x
  2. Step 2: Convert to fraction form
    2,109,200/4,550,176 = 4,550,176/x
  3. Step 3: Cross multiply
    2,109,200x = 4,550,176 × 4,550,176
  4. Step 4: Simplify right side
    2,109,200x = 20,704,101,630,976
  5. Step 5: Solve for x
    x = 20,704,101,630,976/2,109,200
  6. Step 6: Final answer
    x = 9,816,092.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.