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Finding the Third Proportional to 413,880 and 903,576

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Solution

The third proportional to 413,880 and 903,576 is: 1,972,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,880 : 903,576 = 903,576 : x
  2. Step 2: Convert to fraction form
    413,880/903,576 = 903,576/x
  3. Step 3: Cross multiply
    413,880x = 903,576 × 903,576
  4. Step 4: Simplify right side
    413,880x = 816,449,587,776
  5. Step 5: Solve for x
    x = 816,449,587,776/413,880
  6. Step 6: Final answer
    x = 1,972,672.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.