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Finding the Third Proportional to 753,800.25 and 1,640,490.75

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Solution

The third proportional to 753,800.25 and 1,640,490.75 is: 3,570,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,800.25 : 1,640,490.75 = 1,640,490.75 : x
  2. Step 2: Convert to fraction form
    753,800.25/1,640,490.75 = 1,640,490.75/x
  3. Step 3: Cross multiply
    753,800.25x = 1,640,490.75 × 1,640,490.75
  4. Step 4: Simplify right side
    753,800.25x = 2,691,209,900,835.56
  5. Step 5: Solve for x
    x = 2,691,209,900,835.56/753,800.25
  6. Step 6: Final answer
    x = 3,570,189.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.