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Finding the Third Proportional to 2,145,909 and 4,660,874

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Solution

The third proportional to 2,145,909 and 4,660,874 is: 10,123,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,909 : 4,660,874 = 4,660,874 : x
  2. Step 2: Convert to fraction form
    2,145,909/4,660,874 = 4,660,874/x
  3. Step 3: Cross multiply
    2,145,909x = 4,660,874 × 4,660,874
  4. Step 4: Simplify right side
    2,145,909x = 21,723,746,443,876
  5. Step 5: Solve for x
    x = 21,723,746,443,876/2,145,909
  6. Step 6: Final answer
    x = 10,123,330.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.