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Finding the Third Proportional to 2,351,769 and 5,151,957

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Solution

The third proportional to 2,351,769 and 5,151,957 is: 11,286,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,769 : 5,151,957 = 5,151,957 : x
  2. Step 2: Convert to fraction form
    2,351,769/5,151,957 = 5,151,957/x
  3. Step 3: Cross multiply
    2,351,769x = 5,151,957 × 5,151,957
  4. Step 4: Simplify right side
    2,351,769x = 26,542,660,929,849
  5. Step 5: Solve for x
    x = 26,542,660,929,849/2,351,769
  6. Step 6: Final answer
    x = 11,286,253.42

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Why These Related Problems?

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