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Finding the Third Proportional to 1,153,923 and 2,511,034

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Solution

The third proportional to 1,153,923 and 2,511,034 is: 5,464,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,923 : 2,511,034 = 2,511,034 : x
  2. Step 2: Convert to fraction form
    1,153,923/2,511,034 = 2,511,034/x
  3. Step 3: Cross multiply
    1,153,923x = 2,511,034 × 2,511,034
  4. Step 4: Simplify right side
    1,153,923x = 6,305,291,749,156
  5. Step 5: Solve for x
    x = 6,305,291,749,156/1,153,923
  6. Step 6: Final answer
    x = 5,464,222.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.