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Finding the Third Proportional to 582,860 and 926,804

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Solution

The third proportional to 582,860 and 926,804 is: 1,473,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,860 : 926,804 = 926,804 : x
  2. Step 2: Convert to fraction form
    582,860/926,804 = 926,804/x
  3. Step 3: Cross multiply
    582,860x = 926,804 × 926,804
  4. Step 4: Simplify right side
    582,860x = 858,965,654,416
  5. Step 5: Solve for x
    x = 858,965,654,416/582,860
  6. Step 6: Final answer
    x = 1,473,708.36

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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.