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Finding the Third Proportional to 582,406.45 and 1,245,777.47

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Solution

The third proportional to 582,406.45 and 1,245,777.47 is: 2,664,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,406.45 : 1,245,777.47 = 1,245,777.47 : x
  2. Step 2: Convert to fraction form
    582,406.45/1,245,777.47 = 1,245,777.47/x
  3. Step 3: Cross multiply
    582,406.45x = 1,245,777.47 × 1,245,777.47
  4. Step 4: Simplify right side
    582,406.45x = 1,551,961,501,645.16
  5. Step 5: Solve for x
    x = 1,551,961,501,645.16/582,406.45
  6. Step 6: Final answer
    x = 2,664,739.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.