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Finding the Third Proportional to 415,380 and 903,663

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Solution

The third proportional to 415,380 and 903,663 is: 1,965,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,380 : 903,663 = 903,663 : x
  2. Step 2: Convert to fraction form
    415,380/903,663 = 903,663/x
  3. Step 3: Cross multiply
    415,380x = 903,663 × 903,663
  4. Step 4: Simplify right side
    415,380x = 816,606,817,569
  5. Step 5: Solve for x
    x = 816,606,817,569/415,380
  6. Step 6: Final answer
    x = 1,965,927.15

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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.