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Finding the Third Proportional to 802,057.50 and 1,783,442

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Solution

The third proportional to 802,057.50 and 1,783,442 is: 3,965,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,057.50 : 1,783,442 = 1,783,442 : x
  2. Step 2: Convert to fraction form
    802,057.50/1,783,442 = 1,783,442/x
  3. Step 3: Cross multiply
    802,057.50x = 1,783,442 × 1,783,442
  4. Step 4: Simplify right side
    802,057.50x = 3,180,665,367,364
  5. Step 5: Solve for x
    x = 3,180,665,367,364/802,057.50
  6. Step 6: Final answer
    x = 3,965,632.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.