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Finding the Third Proportional to 786,793.50 and 1,688,262.75

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Solution

The third proportional to 786,793.50 and 1,688,262.75 is: 3,622,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,793.50 : 1,688,262.75 = 1,688,262.75 : x
  2. Step 2: Convert to fraction form
    786,793.50/1,688,262.75 = 1,688,262.75/x
  3. Step 3: Cross multiply
    786,793.50x = 1,688,262.75 × 1,688,262.75
  4. Step 4: Simplify right side
    786,793.50x = 2,850,231,113,037.56
  5. Step 5: Solve for x
    x = 2,850,231,113,037.56/786,793.50
  6. Step 6: Final answer
    x = 3,622,591.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.