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Finding the Third Proportional to 814,970 and 1,770,184

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Solution

The third proportional to 814,970 and 1,770,184 is: 3,844,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,970 : 1,770,184 = 1,770,184 : x
  2. Step 2: Convert to fraction form
    814,970/1,770,184 = 1,770,184/x
  3. Step 3: Cross multiply
    814,970x = 1,770,184 × 1,770,184
  4. Step 4: Simplify right side
    814,970x = 3,133,551,393,856
  5. Step 5: Solve for x
    x = 3,133,551,393,856/814,970
  6. Step 6: Final answer
    x = 3,844,989.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.