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Finding the Third Proportional to 513,096 and 1,187,686.50

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Solution

The third proportional to 513,096 and 1,187,686.50 is: 2,749,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,096 : 1,187,686.50 = 1,187,686.50 : x
  2. Step 2: Convert to fraction form
    513,096/1,187,686.50 = 1,187,686.50/x
  3. Step 3: Cross multiply
    513,096x = 1,187,686.50 × 1,187,686.50
  4. Step 4: Simplify right side
    513,096x = 1,410,599,222,282.25
  5. Step 5: Solve for x
    x = 1,410,599,222,282.25/513,096
  6. Step 6: Final answer
    x = 2,749,191.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.