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Finding the Third Proportional to 1,914,948 and 4,149,016

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Solution

The third proportional to 1,914,948 and 4,149,016 is: 8,989,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,948 : 4,149,016 = 4,149,016 : x
  2. Step 2: Convert to fraction form
    1,914,948/4,149,016 = 4,149,016/x
  3. Step 3: Cross multiply
    1,914,948x = 4,149,016 × 4,149,016
  4. Step 4: Simplify right side
    1,914,948x = 17,214,333,768,256
  5. Step 5: Solve for x
    x = 17,214,333,768,256/1,914,948
  6. Step 6: Final answer
    x = 8,989,452.33

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Why These Related Problems?

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