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Finding the Third Proportional to 2,178,662 and 3,194,745

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Solution

The third proportional to 2,178,662 and 3,194,745 is: 4,684,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,662 : 3,194,745 = 3,194,745 : x
  2. Step 2: Convert to fraction form
    2,178,662/3,194,745 = 3,194,745/x
  3. Step 3: Cross multiply
    2,178,662x = 3,194,745 × 3,194,745
  4. Step 4: Simplify right side
    2,178,662x = 10,206,395,615,025
  5. Step 5: Solve for x
    x = 10,206,395,615,025/2,178,662
  6. Step 6: Final answer
    x = 4,684,708.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.