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Finding the Third Proportional to 2,229,347.25 and 3,415,986

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Solution

The third proportional to 2,229,347.25 and 3,415,986 is: 5,234,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,347.25 : 3,415,986 = 3,415,986 : x
  2. Step 2: Convert to fraction form
    2,229,347.25/3,415,986 = 3,415,986/x
  3. Step 3: Cross multiply
    2,229,347.25x = 3,415,986 × 3,415,986
  4. Step 4: Simplify right side
    2,229,347.25x = 11,668,960,352,196
  5. Step 5: Solve for x
    x = 11,668,960,352,196/2,229,347.25
  6. Step 6: Final answer
    x = 5,234,249.78

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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.