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Finding the Third Proportional to 415,384 and 890,384

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Solution

The third proportional to 415,384 and 890,384 is: 1,908,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,384 : 890,384 = 890,384 : x
  2. Step 2: Convert to fraction form
    415,384/890,384 = 890,384/x
  3. Step 3: Cross multiply
    415,384x = 890,384 × 890,384
  4. Step 4: Simplify right side
    415,384x = 792,783,667,456
  5. Step 5: Solve for x
    x = 792,783,667,456/415,384
  6. Step 6: Final answer
    x = 1,908,556.10

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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.