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Finding the Third Proportional to 1,214,959.50 and 1,812,597.75

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Solution

The third proportional to 1,214,959.50 and 1,812,597.75 is: 2,704,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,959.50 : 1,812,597.75 = 1,812,597.75 : x
  2. Step 2: Convert to fraction form
    1,214,959.50/1,812,597.75 = 1,812,597.75/x
  3. Step 3: Cross multiply
    1,214,959.50x = 1,812,597.75 × 1,812,597.75
  4. Step 4: Simplify right side
    1,214,959.50x = 3,285,510,603,305.06
  5. Step 5: Solve for x
    x = 3,285,510,603,305.06/1,214,959.50
  6. Step 6: Final answer
    x = 2,704,214.09

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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.