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Finding the Third Proportional to 803,536 and 1,783,296

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Solution

The third proportional to 803,536 and 1,783,296 is: 3,957,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,536 : 1,783,296 = 1,783,296 : x
  2. Step 2: Convert to fraction form
    803,536/1,783,296 = 1,783,296/x
  3. Step 3: Cross multiply
    803,536x = 1,783,296 × 1,783,296
  4. Step 4: Simplify right side
    803,536x = 3,180,144,623,616
  5. Step 5: Solve for x
    x = 3,180,144,623,616/803,536
  6. Step 6: Final answer
    x = 3,957,687.80

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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.