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Finding the Third Proportional to 2,366,595 and 5,183,678.25

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Solution

The third proportional to 2,366,595 and 5,183,678.25 is: 11,354,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,595 : 5,183,678.25 = 5,183,678.25 : x
  2. Step 2: Convert to fraction form
    2,366,595/5,183,678.25 = 5,183,678.25/x
  3. Step 3: Cross multiply
    2,366,595x = 5,183,678.25 × 5,183,678.25
  4. Step 4: Simplify right side
    2,366,595x = 26,870,520,199,523.06
  5. Step 5: Solve for x
    x = 26,870,520,199,523.06/2,366,595
  6. Step 6: Final answer
    x = 11,354,084.75

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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.