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Finding the Third Proportional to 536,088 and 1,100,715

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Solution

The third proportional to 536,088 and 1,100,715 is: 2,260,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,088 : 1,100,715 = 1,100,715 : x
  2. Step 2: Convert to fraction form
    536,088/1,100,715 = 1,100,715/x
  3. Step 3: Cross multiply
    536,088x = 1,100,715 × 1,100,715
  4. Step 4: Simplify right side
    536,088x = 1,211,573,511,225
  5. Step 5: Solve for x
    x = 1,211,573,511,225/536,088
  6. Step 6: Final answer
    x = 2,260,027.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.