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Finding the Third Proportional to 417,567 and 894,177

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Solution

The third proportional to 417,567 and 894,177 is: 1,914,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,567 : 894,177 = 894,177 : x
  2. Step 2: Convert to fraction form
    417,567/894,177 = 894,177/x
  3. Step 3: Cross multiply
    417,567x = 894,177 × 894,177
  4. Step 4: Simplify right side
    417,567x = 799,552,507,329
  5. Step 5: Solve for x
    x = 799,552,507,329/417,567
  6. Step 6: Final answer
    x = 1,914,788.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.