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Finding the Third Proportional to 510,956 and 1,074,844

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Solution

The third proportional to 510,956 and 1,074,844 is: 2,261,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,956 : 1,074,844 = 1,074,844 : x
  2. Step 2: Convert to fraction form
    510,956/1,074,844 = 1,074,844/x
  3. Step 3: Cross multiply
    510,956x = 1,074,844 × 1,074,844
  4. Step 4: Simplify right side
    510,956x = 1,155,289,624,336
  5. Step 5: Solve for x
    x = 1,155,289,624,336/510,956
  6. Step 6: Final answer
    x = 2,261,035.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.