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Finding the Third Proportional to 1,147,896 and 2,502,474.75

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Solution

The third proportional to 1,147,896 and 2,502,474.75 is: 5,455,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,896 : 2,502,474.75 = 2,502,474.75 : x
  2. Step 2: Convert to fraction form
    1,147,896/2,502,474.75 = 2,502,474.75/x
  3. Step 3: Cross multiply
    1,147,896x = 2,502,474.75 × 2,502,474.75
  4. Step 4: Simplify right side
    1,147,896x = 6,262,379,874,387.56
  5. Step 5: Solve for x
    x = 6,262,379,874,387.56/1,147,896
  6. Step 6: Final answer
    x = 5,455,528.96

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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.