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Finding the Third Proportional to 582,486 and 1,245,956

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Solution

The third proportional to 582,486 and 1,245,956 is: 2,665,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,486 : 1,245,956 = 1,245,956 : x
  2. Step 2: Convert to fraction form
    582,486/1,245,956 = 1,245,956/x
  3. Step 3: Cross multiply
    582,486x = 1,245,956 × 1,245,956
  4. Step 4: Simplify right side
    582,486x = 1,552,406,353,936
  5. Step 5: Solve for x
    x = 1,552,406,353,936/582,486
  6. Step 6: Final answer
    x = 2,665,139.34

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