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Finding the Third Proportional to 1,766,109.38 and 3,814,524

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Solution

The third proportional to 1,766,109.38 and 3,814,524 is: 8,238,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,109.38 : 3,814,524 = 3,814,524 : x
  2. Step 2: Convert to fraction form
    1,766,109.38/3,814,524 = 3,814,524/x
  3. Step 3: Cross multiply
    1,766,109.38x = 3,814,524 × 3,814,524
  4. Step 4: Simplify right side
    1,766,109.38x = 14,550,593,346,576
  5. Step 5: Solve for x
    x = 14,550,593,346,576/1,766,109.38
  6. Step 6: Final answer
    x = 8,238,783.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.