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Finding the Third Proportional to 808,432 and 1,760,384

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Solution

The third proportional to 808,432 and 1,760,384 is: 3,833,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,432 : 1,760,384 = 1,760,384 : x
  2. Step 2: Convert to fraction form
    808,432/1,760,384 = 1,760,384/x
  3. Step 3: Cross multiply
    808,432x = 1,760,384 × 1,760,384
  4. Step 4: Simplify right side
    808,432x = 3,098,951,827,456
  5. Step 5: Solve for x
    x = 3,098,951,827,456/808,432
  6. Step 6: Final answer
    x = 3,833,286.94

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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.