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Finding the Third Proportional to 2,104,716 and 4,546,231

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Solution

The third proportional to 2,104,716 and 4,546,231 is: 9,819,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,716 : 4,546,231 = 4,546,231 : x
  2. Step 2: Convert to fraction form
    2,104,716/4,546,231 = 4,546,231/x
  3. Step 3: Cross multiply
    2,104,716x = 4,546,231 × 4,546,231
  4. Step 4: Simplify right side
    2,104,716x = 20,668,216,305,361
  5. Step 5: Solve for x
    x = 20,668,216,305,361/2,104,716
  6. Step 6: Final answer
    x = 9,819,954.95

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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.