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Finding the Third Proportional to 582,612 and 1,246,179

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Solution

The third proportional to 582,612 and 1,246,179 is: 2,665,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,612 : 1,246,179 = 1,246,179 : x
  2. Step 2: Convert to fraction form
    582,612/1,246,179 = 1,246,179/x
  3. Step 3: Cross multiply
    582,612x = 1,246,179 × 1,246,179
  4. Step 4: Simplify right side
    582,612x = 1,552,962,100,041
  5. Step 5: Solve for x
    x = 1,552,962,100,041/582,612
  6. Step 6: Final answer
    x = 2,665,516.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.