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Finding the Third Proportional to 827,860.50 and 1,786,363.88

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Solution

The third proportional to 827,860.50 and 1,786,363.88 is: 3,854,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,860.50 : 1,786,363.88 = 1,786,363.88 : x
  2. Step 2: Convert to fraction form
    827,860.50/1,786,363.88 = 1,786,363.88/x
  3. Step 3: Cross multiply
    827,860.50x = 1,786,363.88 × 1,786,363.88
  4. Step 4: Simplify right side
    827,860.50x = 3,191,095,893,905.02
  5. Step 5: Solve for x
    x = 3,191,095,893,905.02/827,860.50
  6. Step 6: Final answer
    x = 3,854,629.97

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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.