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Finding the Third Proportional to 582,896 and 926,856

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Solution

The third proportional to 582,896 and 926,856 is: 1,473,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,896 : 926,856 = 926,856 : x
  2. Step 2: Convert to fraction form
    582,896/926,856 = 926,856/x
  3. Step 3: Cross multiply
    582,896x = 926,856 × 926,856
  4. Step 4: Simplify right side
    582,896x = 859,062,044,736
  5. Step 5: Solve for x
    x = 859,062,044,736/582,896
  6. Step 6: Final answer
    x = 1,473,782.71

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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.