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Finding the Third Proportional to 669,890.25 and 1,305,952.88

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Solution

The third proportional to 669,890.25 and 1,305,952.88 is: 2,545,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,890.25 : 1,305,952.88 = 1,305,952.88 : x
  2. Step 2: Convert to fraction form
    669,890.25/1,305,952.88 = 1,305,952.88/x
  3. Step 3: Cross multiply
    669,890.25x = 1,305,952.88 × 1,305,952.88
  4. Step 4: Simplify right side
    669,890.25x = 1,705,512,911,720.77
  5. Step 5: Solve for x
    x = 1,705,512,911,720.77/669,890.25
  6. Step 6: Final answer
    x = 2,545,958.70

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.