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Finding the Third Proportional to 461,596.50 and 969,840

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Solution

The third proportional to 461,596.50 and 969,840 is: 2,037,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,596.50 : 969,840 = 969,840 : x
  2. Step 2: Convert to fraction form
    461,596.50/969,840 = 969,840/x
  3. Step 3: Cross multiply
    461,596.50x = 969,840 × 969,840
  4. Step 4: Simplify right side
    461,596.50x = 940,589,625,600
  5. Step 5: Solve for x
    x = 940,589,625,600/461,596.50
  6. Step 6: Final answer
    x = 2,037,687.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.