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Finding the Third Proportional to 415,467 and 903,726

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Solution

The third proportional to 415,467 and 903,726 is: 1,965,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,467 : 903,726 = 903,726 : x
  2. Step 2: Convert to fraction form
    415,467/903,726 = 903,726/x
  3. Step 3: Cross multiply
    415,467x = 903,726 × 903,726
  4. Step 4: Simplify right side
    415,467x = 816,720,683,076
  5. Step 5: Solve for x
    x = 816,720,683,076/415,467
  6. Step 6: Final answer
    x = 1,965,789.54

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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.