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Finding the Third Proportional to 792,960 and 1,696,512

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Solution

The third proportional to 792,960 and 1,696,512 is: 3,629,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,960 : 1,696,512 = 1,696,512 : x
  2. Step 2: Convert to fraction form
    792,960/1,696,512 = 1,696,512/x
  3. Step 3: Cross multiply
    792,960x = 1,696,512 × 1,696,512
  4. Step 4: Simplify right side
    792,960x = 2,878,152,966,144
  5. Step 5: Solve for x
    x = 2,878,152,966,144/792,960
  6. Step 6: Final answer
    x = 3,629,631.97

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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.