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Finding the Third Proportional to 857,893.50 and 1,694,259

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Solution

The third proportional to 857,893.50 and 1,694,259 is: 3,346,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,893.50 : 1,694,259 = 1,694,259 : x
  2. Step 2: Convert to fraction form
    857,893.50/1,694,259 = 1,694,259/x
  3. Step 3: Cross multiply
    857,893.50x = 1,694,259 × 1,694,259
  4. Step 4: Simplify right side
    857,893.50x = 2,870,513,559,081
  5. Step 5: Solve for x
    x = 2,870,513,559,081/857,893.50
  6. Step 6: Final answer
    x = 3,346,002.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.