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Finding the Third Proportional to 536,500 and 1,160,116

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Solution

The third proportional to 536,500 and 1,160,116 is: 2,508,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,500 : 1,160,116 = 1,160,116 : x
  2. Step 2: Convert to fraction form
    536,500/1,160,116 = 1,160,116/x
  3. Step 3: Cross multiply
    536,500x = 1,160,116 × 1,160,116
  4. Step 4: Simplify right side
    536,500x = 1,345,869,133,456
  5. Step 5: Solve for x
    x = 1,345,869,133,456/536,500
  6. Step 6: Final answer
    x = 2,508,609.75

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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.