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Finding the Third Proportional to 582,427 and 1,245,816

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Solution

The third proportional to 582,427 and 1,245,816 is: 2,664,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,427 : 1,245,816 = 1,245,816 : x
  2. Step 2: Convert to fraction form
    582,427/1,245,816 = 1,245,816/x
  3. Step 3: Cross multiply
    582,427x = 1,245,816 × 1,245,816
  4. Step 4: Simplify right side
    582,427x = 1,552,057,505,856
  5. Step 5: Solve for x
    x = 1,552,057,505,856/582,427
  6. Step 6: Final answer
    x = 2,664,810.36

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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.