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Finding the Third Proportional to 806,121 and 1,759,599

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Solution

The third proportional to 806,121 and 1,759,599 is: 3,840,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,121 : 1,759,599 = 1,759,599 : x
  2. Step 2: Convert to fraction form
    806,121/1,759,599 = 1,759,599/x
  3. Step 3: Cross multiply
    806,121x = 1,759,599 × 1,759,599
  4. Step 4: Simplify right side
    806,121x = 3,096,188,640,801
  5. Step 5: Solve for x
    x = 3,096,188,640,801/806,121
  6. Step 6: Final answer
    x = 3,840,848.51

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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.