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Finding the Third Proportional to 1,265,840 and 1,690,950

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Solution

The third proportional to 1,265,840 and 1,690,950 is: 2,258,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,840 : 1,690,950 = 1,690,950 : x
  2. Step 2: Convert to fraction form
    1,265,840/1,690,950 = 1,690,950/x
  3. Step 3: Cross multiply
    1,265,840x = 1,690,950 × 1,690,950
  4. Step 4: Simplify right side
    1,265,840x = 2,859,311,902,500
  5. Step 5: Solve for x
    x = 2,859,311,902,500/1,265,840
  6. Step 6: Final answer
    x = 2,258,825.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.