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Finding the Third Proportional to 2,397,504 and 5,135,085.75

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Solution

The third proportional to 2,397,504 and 5,135,085.75 is: 10,998,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,504 : 5,135,085.75 = 5,135,085.75 : x
  2. Step 2: Convert to fraction form
    2,397,504/5,135,085.75 = 5,135,085.75/x
  3. Step 3: Cross multiply
    2,397,504x = 5,135,085.75 × 5,135,085.75
  4. Step 4: Simplify right side
    2,397,504x = 26,369,105,659,853.06
  5. Step 5: Solve for x
    x = 26,369,105,659,853.06/2,397,504
  6. Step 6: Final answer
    x = 10,998,565.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.