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Finding the Third Proportional to 2,117,696 and 3,196,290

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Solution

The third proportional to 2,117,696 and 3,196,290 is: 4,824,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,696 : 3,196,290 = 3,196,290 : x
  2. Step 2: Convert to fraction form
    2,117,696/3,196,290 = 3,196,290/x
  3. Step 3: Cross multiply
    2,117,696x = 3,196,290 × 3,196,290
  4. Step 4: Simplify right side
    2,117,696x = 10,216,269,764,100
  5. Step 5: Solve for x
    x = 10,216,269,764,100/2,117,696
  6. Step 6: Final answer
    x = 4,824,238.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.