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Finding the Third Proportional to 410,767 and 888,926

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Solution

The third proportional to 410,767 and 888,926 is: 1,923,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,767 : 888,926 = 888,926 : x
  2. Step 2: Convert to fraction form
    410,767/888,926 = 888,926/x
  3. Step 3: Cross multiply
    410,767x = 888,926 × 888,926
  4. Step 4: Simplify right side
    410,767x = 790,189,433,476
  5. Step 5: Solve for x
    x = 790,189,433,476/410,767
  6. Step 6: Final answer
    x = 1,923,692.59

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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.