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Finding the Third Proportional to 2,096,129 and 4,491,094

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Solution

The third proportional to 2,096,129 and 4,491,094 is: 9,622,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,129 : 4,491,094 = 4,491,094 : x
  2. Step 2: Convert to fraction form
    2,096,129/4,491,094 = 4,491,094/x
  3. Step 3: Cross multiply
    2,096,129x = 4,491,094 × 4,491,094
  4. Step 4: Simplify right side
    2,096,129x = 20,169,925,316,836
  5. Step 5: Solve for x
    x = 20,169,925,316,836/2,096,129
  6. Step 6: Final answer
    x = 9,622,463.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.