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Finding the Third Proportional to 582,158 and 934,739

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Solution

The third proportional to 582,158 and 934,739 is: 1,500,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,158 : 934,739 = 934,739 : x
  2. Step 2: Convert to fraction form
    582,158/934,739 = 934,739/x
  3. Step 3: Cross multiply
    582,158x = 934,739 × 934,739
  4. Step 4: Simplify right side
    582,158x = 873,736,998,121
  5. Step 5: Solve for x
    x = 873,736,998,121/582,158
  6. Step 6: Final answer
    x = 1,500,858.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.