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Finding the Third Proportional to 814,219.50 and 1,197,645

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Solution

The third proportional to 814,219.50 and 1,197,645 is: 1,761,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,219.50 : 1,197,645 = 1,197,645 : x
  2. Step 2: Convert to fraction form
    814,219.50/1,197,645 = 1,197,645/x
  3. Step 3: Cross multiply
    814,219.50x = 1,197,645 × 1,197,645
  4. Step 4: Simplify right side
    814,219.50x = 1,434,353,546,025
  5. Step 5: Solve for x
    x = 1,434,353,546,025/814,219.50
  6. Step 6: Final answer
    x = 1,761,630.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.