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Finding the Third Proportional to 2,155,744 and 4,694,214

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Solution

The third proportional to 2,155,744 and 4,694,214 is: 10,221,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,744 : 4,694,214 = 4,694,214 : x
  2. Step 2: Convert to fraction form
    2,155,744/4,694,214 = 4,694,214/x
  3. Step 3: Cross multiply
    2,155,744x = 4,694,214 × 4,694,214
  4. Step 4: Simplify right side
    2,155,744x = 22,035,645,077,796
  5. Step 5: Solve for x
    x = 22,035,645,077,796/2,155,744
  6. Step 6: Final answer
    x = 10,221,828.32

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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.