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Finding the Third Proportional to 582,898 and 926,859

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Solution

The third proportional to 582,898 and 926,859 is: 1,473,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,898 : 926,859 = 926,859 : x
  2. Step 2: Convert to fraction form
    582,898/926,859 = 926,859/x
  3. Step 3: Cross multiply
    582,898x = 926,859 × 926,859
  4. Step 4: Simplify right side
    582,898x = 859,067,605,881
  5. Step 5: Solve for x
    x = 859,067,605,881/582,898
  6. Step 6: Final answer
    x = 1,473,787.19

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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.