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Finding the Third Proportional to 1,282,195.50 and 2,030,325.75

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Solution

The third proportional to 1,282,195.50 and 2,030,325.75 is: 3,214,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,195.50 : 2,030,325.75 = 2,030,325.75 : x
  2. Step 2: Convert to fraction form
    1,282,195.50/2,030,325.75 = 2,030,325.75/x
  3. Step 3: Cross multiply
    1,282,195.50x = 2,030,325.75 × 2,030,325.75
  4. Step 4: Simplify right side
    1,282,195.50x = 4,122,222,651,113.06
  5. Step 5: Solve for x
    x = 4,122,222,651,113.06/1,282,195.50
  6. Step 6: Final answer
    x = 3,214,972.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.