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Finding the Third Proportional to 668,690.44 and 1,303,892.44

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Solution

The third proportional to 668,690.44 and 1,303,892.44 is: 2,542,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,690.44 : 1,303,892.44 = 1,303,892.44 : x
  2. Step 2: Convert to fraction form
    668,690.44/1,303,892.44 = 1,303,892.44/x
  3. Step 3: Cross multiply
    668,690.44x = 1,303,892.44 × 1,303,892.44
  4. Step 4: Simplify right side
    668,690.44x = 1,700,135,488,569.69
  5. Step 5: Solve for x
    x = 1,700,135,488,569.69/668,690.44
  6. Step 6: Final answer
    x = 2,542,485.12

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Why These Related Problems?

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