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Finding the Third Proportional to 828,193.50 and 1,786,867.50

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Solution

The third proportional to 828,193.50 and 1,786,867.50 is: 3,855,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,193.50 : 1,786,867.50 = 1,786,867.50 : x
  2. Step 2: Convert to fraction form
    828,193.50/1,786,867.50 = 1,786,867.50/x
  3. Step 3: Cross multiply
    828,193.50x = 1,786,867.50 × 1,786,867.50
  4. Step 4: Simplify right side
    828,193.50x = 3,192,895,462,556.25
  5. Step 5: Solve for x
    x = 3,192,895,462,556.25/828,193.50
  6. Step 6: Final answer
    x = 3,855,252.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.