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Finding the Third Proportional to 1,024,962.50 and 1,591,162

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Solution

The third proportional to 1,024,962.50 and 1,591,162 is: 2,470,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,962.50 : 1,591,162 = 1,591,162 : x
  2. Step 2: Convert to fraction form
    1,024,962.50/1,591,162 = 1,591,162/x
  3. Step 3: Cross multiply
    1,024,962.50x = 1,591,162 × 1,591,162
  4. Step 4: Simplify right side
    1,024,962.50x = 2,531,796,510,244
  5. Step 5: Solve for x
    x = 2,531,796,510,244/1,024,962.50
  6. Step 6: Final answer
    x = 2,470,135.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.