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Finding the Third Proportional to 582,245.72 and 1,267,007.06

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Solution

The third proportional to 582,245.72 and 1,267,007.06 is: 2,757,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,245.72 : 1,267,007.06 = 1,267,007.06 : x
  2. Step 2: Convert to fraction form
    582,245.72/1,267,007.06 = 1,267,007.06/x
  3. Step 3: Cross multiply
    582,245.72x = 1,267,007.06 × 1,267,007.06
  4. Step 4: Simplify right side
    582,245.72x = 1,605,306,896,424.88
  5. Step 5: Solve for x
    x = 1,605,306,896,424.88/582,245.72
  6. Step 6: Final answer
    x = 2,757,095.23

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