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Finding the Third Proportional to 828,292.50 and 1,806,529.50

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Solution

The third proportional to 828,292.50 and 1,806,529.50 is: 3,940,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,292.50 : 1,806,529.50 = 1,806,529.50 : x
  2. Step 2: Convert to fraction form
    828,292.50/1,806,529.50 = 1,806,529.50/x
  3. Step 3: Cross multiply
    828,292.50x = 1,806,529.50 × 1,806,529.50
  4. Step 4: Simplify right side
    828,292.50x = 3,263,548,834,370.25
  5. Step 5: Solve for x
    x = 3,263,548,834,370.25/828,292.50
  6. Step 6: Final answer
    x = 3,940,092.22

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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.