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Finding the Third Proportional to 689,617.50 and 1,361,550

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Solution

The third proportional to 689,617.50 and 1,361,550 is: 2,688,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,617.50 : 1,361,550 = 1,361,550 : x
  2. Step 2: Convert to fraction form
    689,617.50/1,361,550 = 1,361,550/x
  3. Step 3: Cross multiply
    689,617.50x = 1,361,550 × 1,361,550
  4. Step 4: Simplify right side
    689,617.50x = 1,853,818,402,500
  5. Step 5: Solve for x
    x = 1,853,818,402,500/689,617.50
  6. Step 6: Final answer
    x = 2,688,183.53

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.