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Finding the Third Proportional to 814,216 and 1,245,500

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Solution

The third proportional to 814,216 and 1,245,500 is: 1,905,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,216 : 1,245,500 = 1,245,500 : x
  2. Step 2: Convert to fraction form
    814,216/1,245,500 = 1,245,500/x
  3. Step 3: Cross multiply
    814,216x = 1,245,500 × 1,245,500
  4. Step 4: Simplify right side
    814,216x = 1,551,270,250,000
  5. Step 5: Solve for x
    x = 1,551,270,250,000/814,216
  6. Step 6: Final answer
    x = 1,905,231.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.