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Finding the Third Proportional to 417,571 and 894,185

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Solution

The third proportional to 417,571 and 894,185 is: 1,914,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,571 : 894,185 = 894,185 : x
  2. Step 2: Convert to fraction form
    417,571/894,185 = 894,185/x
  3. Step 3: Cross multiply
    417,571x = 894,185 × 894,185
  4. Step 4: Simplify right side
    417,571x = 799,566,814,225
  5. Step 5: Solve for x
    x = 799,566,814,225/417,571
  6. Step 6: Final answer
    x = 1,914,804.46

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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.