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Finding the Third Proportional to 1,364,190.75 and 2,970,573.75

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Solution

The third proportional to 1,364,190.75 and 2,970,573.75 is: 6,468,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,190.75 : 2,970,573.75 = 2,970,573.75 : x
  2. Step 2: Convert to fraction form
    1,364,190.75/2,970,573.75 = 2,970,573.75/x
  3. Step 3: Cross multiply
    1,364,190.75x = 2,970,573.75 × 2,970,573.75
  4. Step 4: Simplify right side
    1,364,190.75x = 8,824,308,404,189.06
  5. Step 5: Solve for x
    x = 8,824,308,404,189.06/1,364,190.75
  6. Step 6: Final answer
    x = 6,468,529.72

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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.