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Finding the Third Proportional to 1,345,081.50 and 1,998,564.75

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Solution

The third proportional to 1,345,081.50 and 1,998,564.75 is: 2,969,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,081.50 : 1,998,564.75 = 1,998,564.75 : x
  2. Step 2: Convert to fraction form
    1,345,081.50/1,998,564.75 = 1,998,564.75/x
  3. Step 3: Cross multiply
    1,345,081.50x = 1,998,564.75 × 1,998,564.75
  4. Step 4: Simplify right side
    1,345,081.50x = 3,994,261,059,942.56
  5. Step 5: Solve for x
    x = 3,994,261,059,942.56/1,345,081.50
  6. Step 6: Final answer
    x = 2,969,530.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.