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Finding the Third Proportional to 529,336 and 1,151,976

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Solution

The third proportional to 529,336 and 1,151,976 is: 2,507,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,336 : 1,151,976 = 1,151,976 : x
  2. Step 2: Convert to fraction form
    529,336/1,151,976 = 1,151,976/x
  3. Step 3: Cross multiply
    529,336x = 1,151,976 × 1,151,976
  4. Step 4: Simplify right side
    529,336x = 1,327,048,704,576
  5. Step 5: Solve for x
    x = 1,327,048,704,576/529,336
  6. Step 6: Final answer
    x = 2,507,006.33

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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.