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Finding the Third Proportional to 582,168 and 1,266,846

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Solution

The third proportional to 582,168 and 1,266,846 is: 2,756,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,168 : 1,266,846 = 1,266,846 : x
  2. Step 2: Convert to fraction form
    582,168/1,266,846 = 1,266,846/x
  3. Step 3: Cross multiply
    582,168x = 1,266,846 × 1,266,846
  4. Step 4: Simplify right side
    582,168x = 1,604,898,787,716
  5. Step 5: Solve for x
    x = 1,604,898,787,716/582,168
  6. Step 6: Final answer
    x = 2,756,762.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.