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Finding the Third Proportional to 1,157,414 and 2,538,936

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Solution

The third proportional to 1,157,414 and 2,538,936 is: 5,569,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,414 : 2,538,936 = 2,538,936 : x
  2. Step 2: Convert to fraction form
    1,157,414/2,538,936 = 2,538,936/x
  3. Step 3: Cross multiply
    1,157,414x = 2,538,936 × 2,538,936
  4. Step 4: Simplify right side
    1,157,414x = 6,446,196,012,096
  5. Step 5: Solve for x
    x = 6,446,196,012,096/1,157,414
  6. Step 6: Final answer
    x = 5,569,481.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.