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Finding the Third Proportional to 414,015 and 891,453

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Solution

The third proportional to 414,015 and 891,453 is: 1,919,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,015 : 891,453 = 891,453 : x
  2. Step 2: Convert to fraction form
    414,015/891,453 = 891,453/x
  3. Step 3: Cross multiply
    414,015x = 891,453 × 891,453
  4. Step 4: Simplify right side
    414,015x = 794,688,451,209
  5. Step 5: Solve for x
    x = 794,688,451,209/414,015
  6. Step 6: Final answer
    x = 1,919,467.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.