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Finding the Third Proportional to 1,396,387.69 and 2,135,195.44

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Solution

The third proportional to 1,396,387.69 and 2,135,195.44 is: 3,264,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,387.69 : 2,135,195.44 = 2,135,195.44 : x
  2. Step 2: Convert to fraction form
    1,396,387.69/2,135,195.44 = 2,135,195.44/x
  3. Step 3: Cross multiply
    1,396,387.69x = 2,135,195.44 × 2,135,195.44
  4. Step 4: Simplify right side
    1,396,387.69x = 4,559,059,556,320.82
  5. Step 5: Solve for x
    x = 4,559,059,556,320.82/1,396,387.69
  6. Step 6: Final answer
    x = 3,264,895.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.