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Finding the Third Proportional to 496,956 and 1,072,596

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Solution

The third proportional to 496,956 and 1,072,596 is: 2,315,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,956 : 1,072,596 = 1,072,596 : x
  2. Step 2: Convert to fraction form
    496,956/1,072,596 = 1,072,596/x
  3. Step 3: Cross multiply
    496,956x = 1,072,596 × 1,072,596
  4. Step 4: Simplify right side
    496,956x = 1,150,462,179,216
  5. Step 5: Solve for x
    x = 1,150,462,179,216/496,956
  6. Step 6: Final answer
    x = 2,315,018.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.