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Finding the Third Proportional to 2,102,079 and 4,573,214

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Solution

The third proportional to 2,102,079 and 4,573,214 is: 9,949,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,079 : 4,573,214 = 4,573,214 : x
  2. Step 2: Convert to fraction form
    2,102,079/4,573,214 = 4,573,214/x
  3. Step 3: Cross multiply
    2,102,079x = 4,573,214 × 4,573,214
  4. Step 4: Simplify right side
    2,102,079x = 20,914,286,289,796
  5. Step 5: Solve for x
    x = 20,914,286,289,796/2,102,079
  6. Step 6: Final answer
    x = 9,949,334.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.