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Finding the Third Proportional to 488,778.50 and 1,022,247

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Solution

The third proportional to 488,778.50 and 1,022,247 is: 2,137,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,778.50 : 1,022,247 = 1,022,247 : x
  2. Step 2: Convert to fraction form
    488,778.50/1,022,247 = 1,022,247/x
  3. Step 3: Cross multiply
    488,778.50x = 1,022,247 × 1,022,247
  4. Step 4: Simplify right side
    488,778.50x = 1,044,988,929,009
  5. Step 5: Solve for x
    x = 1,044,988,929,009/488,778.50
  6. Step 6: Final answer
    x = 2,137,960.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.