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Finding the Third Proportional to 496,859.63 and 1,072,451.25

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Solution

The third proportional to 496,859.63 and 1,072,451.25 is: 2,314,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,859.63 : 1,072,451.25 = 1,072,451.25 : x
  2. Step 2: Convert to fraction form
    496,859.63/1,072,451.25 = 1,072,451.25/x
  3. Step 3: Cross multiply
    496,859.63x = 1,072,451.25 × 1,072,451.25
  4. Step 4: Simplify right side
    496,859.63x = 1,150,151,683,626.56
  5. Step 5: Solve for x
    x = 1,150,151,683,626.56/496,859.63
  6. Step 6: Final answer
    x = 2,314,842.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.