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Finding the Third Proportional to 814,911.38 and 1,770,061.88

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Solution

The third proportional to 814,911.38 and 1,770,061.88 is: 3,844,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,911.38 : 1,770,061.88 = 1,770,061.88 : x
  2. Step 2: Convert to fraction form
    814,911.38/1,770,061.88 = 1,770,061.88/x
  3. Step 3: Cross multiply
    814,911.38x = 1,770,061.88 × 1,770,061.88
  4. Step 4: Simplify right side
    814,911.38x = 3,133,119,041,328.52
  5. Step 5: Solve for x
    x = 3,133,119,041,328.52/814,911.38
  6. Step 6: Final answer
    x = 3,844,735.93

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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.