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Finding the Third Proportional to 1,086,819 and 2,383,590

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Solution

The third proportional to 1,086,819 and 2,383,590 is: 5,227,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,819 : 2,383,590 = 2,383,590 : x
  2. Step 2: Convert to fraction form
    1,086,819/2,383,590 = 2,383,590/x
  3. Step 3: Cross multiply
    1,086,819x = 2,383,590 × 2,383,590
  4. Step 4: Simplify right side
    1,086,819x = 5,681,501,288,100
  5. Step 5: Solve for x
    x = 5,681,501,288,100/1,086,819
  6. Step 6: Final answer
    x = 5,227,642.59

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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.