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Finding the Third Proportional to 582,190 and 925,772

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Solution

The third proportional to 582,190 and 925,772 is: 1,472,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,190 : 925,772 = 925,772 : x
  2. Step 2: Convert to fraction form
    582,190/925,772 = 925,772/x
  3. Step 3: Cross multiply
    582,190x = 925,772 × 925,772
  4. Step 4: Simplify right side
    582,190x = 857,053,795,984
  5. Step 5: Solve for x
    x = 857,053,795,984/582,190
  6. Step 6: Final answer
    x = 1,472,120.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.