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Finding the Third Proportional to 2,653,590.38 and 3,976,224.19

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Solution

The third proportional to 2,653,590.38 and 3,976,224.19 is: 5,958,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,590.38 : 3,976,224.19 = 3,976,224.19 : x
  2. Step 2: Convert to fraction form
    2,653,590.38/3,976,224.19 = 3,976,224.19/x
  3. Step 3: Cross multiply
    2,653,590.38x = 3,976,224.19 × 3,976,224.19
  4. Step 4: Simplify right side
    2,653,590.38x = 15,810,358,789,260.04
  5. Step 5: Solve for x
    x = 15,810,358,789,260.04/2,653,590.38
  6. Step 6: Final answer
    x = 5,958,100.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.