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Finding the Third Proportional to 669,465 and 1,393,078.50

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Solution

The third proportional to 669,465 and 1,393,078.50 is: 2,898,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,465 : 1,393,078.50 = 1,393,078.50 : x
  2. Step 2: Convert to fraction form
    669,465/1,393,078.50 = 1,393,078.50/x
  3. Step 3: Cross multiply
    669,465x = 1,393,078.50 × 1,393,078.50
  4. Step 4: Simplify right side
    669,465x = 1,940,667,707,162.25
  5. Step 5: Solve for x
    x = 1,940,667,707,162.25/669,465
  6. Step 6: Final answer
    x = 2,898,833.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.