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Finding the Third Proportional to 417,569 and 894,181

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Solution

The third proportional to 417,569 and 894,181 is: 1,914,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,569 : 894,181 = 894,181 : x
  2. Step 2: Convert to fraction form
    417,569/894,181 = 894,181/x
  3. Step 3: Cross multiply
    417,569x = 894,181 × 894,181
  4. Step 4: Simplify right side
    417,569x = 799,559,660,761
  5. Step 5: Solve for x
    x = 799,559,660,761/417,569
  6. Step 6: Final answer
    x = 1,914,796.50

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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.