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Finding the Third Proportional to 415,424 and 903,749

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Solution

The third proportional to 415,424 and 903,749 is: 1,966,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,424 : 903,749 = 903,749 : x
  2. Step 2: Convert to fraction form
    415,424/903,749 = 903,749/x
  3. Step 3: Cross multiply
    415,424x = 903,749 × 903,749
  4. Step 4: Simplify right side
    415,424x = 816,762,255,001
  5. Step 5: Solve for x
    x = 816,762,255,001/415,424
  6. Step 6: Final answer
    x = 1,966,093.09

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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.